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Integral Calculus

04/07/20

Definite integral

Use this graph (not to scale):and these facts: the area of region A1A1 is 66 the area of region A2A2 is 33 the area of region A3A3 is 11 the area of region A4A4 is 11 to evaluate this definite... more

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Integral Calculus Math Calculus Precalculus

04/06/20

Evaluate the line integral

(1,2,3)∫ 3x2 y dx + (x3-z6) dy - 6yz5 dz(0,0,0)

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Integral Calculus Calculus Integral

03/14/20

How do I solve this problem using Area Integration?

1. (a) Consider the box whose vertices are (-1, 1), (-1, 0), (1, 0), and (1, 1). Let Lmbe the line with slope m that passes through the point (2, 0). Find the value of meRwhich divides the box into... more

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Integral Calculus Math Calculus Integral

03/12/20

How do I solve this Area Integration question?

1. (a) Consider the box whose vertices are (1; 1); (1; 0); (1; 0), and (1; 1). Let Lmbe the line with slope m that passes through the point (2; 0). Find the value of meRwhich divides the box into... more

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Integral Calculus Calculus Integral

03/07/20

How do I solve this Fundamental Theorem of Calculus problem?

Consider the function f(x)=((x2−1)/xand define the function F(x)=∫from1tox f(t)dtwith domain (0,∞)a) What are critical points of F?b) Find the intervals of increasing and decreasing for F.c) Find... more

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Integral Calculus Calculus Trigonometry

02/29/20

the integral of sqrt (x^2+6x)dx, using trig substitution

Please answer ASAP with step by step solution. Thank you so much!

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Answers •3

Integral Calculus Calculus Physics

02/24/20

One end of a pool is a verticle wall 16 ft wide.

One end of a pool is a verticle wall 16 ft wide. What is the force exerted on this wall by the water if it is 7 ft deep? The density of water is 62.4 lb/ft^3.

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Integral Calculus Calculus Vector Calculus

02/12/20

Calculus: Vector Integration

Three paths from (0,0) to (1,2) are defined by (a) y=2x (b) y=2x^2(c) y=0 from (0,0) to (1,0) and x= 1 from (1,0) to (1,2). Sketch each path and along each path find (integral)c Fdr, where F=... more

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Integral Calculus Math Calculus Mathematics

01/30/20

HELP! There is a line through the origin that divides the region bounded by the parabola y = 2x − 8x^2 and the x-axis into two regions with equal area. What is the slope of that line?

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Integral Calculus Math Calculus Graph

01/28/20

Consider the region between the graph of f(x)=x−2 and the x-axis on [2,4]. For the line of rotation given below, use a definite integral to find the volume of the resulting solid.

Around the line x=7 The volume of the solid is___________? PLEASE show work!! STEP BY STEP!!!

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Integral Calculus Math Math Help Integral

01/21/20

What are maximum and minimum values of the function (definite integral)

What are maximum and minimum values of the function f(a,b)= ∫_a^b e^(-(x-3)^2 ) dx ?

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Integral Calculus

01/03/20

2 cosx -3 sinx/6cos x + 4 Sin x

Wy cant I take the denominator as t as it is and get the answer, why is it necassary to take 2 common in the denominator.If I suppose t= denominator , then the answer isnt similar to as mentioned... more

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Integral Calculus Calculus

12/22/19

What happens when the given integral of a function has domain restrictions.

The integral of cosec x dx is given as ln (cosec x - cot x) yet this function has domain restrictions eg at x = 5. This seems to be the tip of the iceberg on integration. The given integral of... more

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Integral Calculus Calculus Precalculus Differential Equations

12/19/19

Given two equation, find intersect point, enclosed area and need to sketch graph!

Determine each of the following.i. Sketch 𝑦1 and 𝑦2 in the same graph.ii. Shaded the area of the region bounded.iii. Find the intersection points.iv. Find the enclosed area.

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Integral Calculus Calculus Differential Equations Integral

12/18/19

Identify the critical points of the function. & Determine the intervals on which the function increases and decreases.

answer each of the following questions.i. Identify the critical points of the function.ii. Determine the intervals on which the function increases and decreases.

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Integral Calculus Calculus

12/01/19

Why ∫ 0 to 1 of sin(x) isn't the same as calculating the indefinite integral at x=1?

I thought of this after reading https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus#Geometric_meaningIt turns out that the answer is just the difference between the indefinite integral at... more

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Integral Calculus Math Calculus Integral

11/21/19

Integral Question

Suppose that ∫3-1f(x)dx = 4 and ∫35f(x)dx = 1. Find ∫-15 (2f(x) - 3)dxa. -10b. 0c. 3d. 6e. 10f. 12

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Integral Calculus Circle Equation

11/20/19

Why does X squared divided by radius sqaure = sine theta squared

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Integral Calculus Calculus Calculus 3

11/17/19

Calculate the double integral ∫∫ xy^2/ x^2+1 dA where the region of integration R= {(x,y)| 0 ≤ x ≤1, -3 ≤ y ≤ 3}

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Integral Calculus Calculus Calculus 3

11/17/19

Evaluate the following integral by converting to polar coordinate system: ∫∫(√4-x^2-y^2)dA, where R={(x,y)| x^2+y^2 ≤ 4, x ≥ 0|}

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Integral Calculus Calculus Calculus 3

11/17/19

Evaluate the following integral by converting to polar coordinate system: ∫∫ye^x dA, where the region R is in the first quadrant enclosed by a circle of radius 5 and centered at origin

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Integral Calculus Calculus Calculus 3

11/17/19

Evaluate the following iterated integral by converting to polar coordinate system: ∫∫(sin(x^2+y^2) dydx. The bounds are: y=(√9-x^2), y=0, x=3,x=-3

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Integral Calculus Calculus Calculus 3

11/17/19

Evaluate the following iterated integral in cartesian variables ∫ ∫ xy(√x^2+y^2) dydx. The bounds are y=1, y=0, x=1, x=0

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Integral Calculus Calculus Calc Calculus 3

11/17/19

Use the change of variable formula evaluate the double integral ∫ ∫R 1/ (√1-x^2-y^2) dA where the region R is the part of the cartesian plane above the xaxis between the circles x^2+y^2=1 & x^2+y^2=4

Can you please draw the region as well so that I can get more clarification

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Integral Calculus Calculus Integral

10/30/19

Which of the following options satisfies y(1)?

Let A(x) and B(x) be functions defined by A(x) = integral (exp(t^2-2t) dt) [upper bound:x lower bound: 0]B(x) = integral (exp(t^2+2t) dt) [upper bound: x lower bound: 0]where t is a dummy variable.... more

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Definite integral

Evaluate the line integral

How do I solve this problem using Area Integration?

How do I solve this Area Integration question?

How do I solve this Fundamental Theorem of Calculus problem?

the integral of sqrt (x^2+6x)dx, using trig substitution

One end of a pool is a verticle wall 16 ft wide.

Calculus: Vector Integration

HELP! There is a line through the origin that divides the region bounded by the parabola y = 2x − 8x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Consider the region between the graph of f(x)=x−2 and the x-axis on [2,4]. For the line of rotation given below, use a definite integral to find the volume of the resulting solid.

What are maximum and minimum values of the function (definite integral)

2 cosx -3 sinx/6cos x + 4 Sin x

What happens when the given integral of a function has domain restrictions.

Given two equation, find intersect point, enclosed area and need to sketch graph!

Identify the critical points of the function. & Determine the intervals on which the function increases and decreases.

Why ∫ 0 to 1 of sin(x) isn't the same as calculating the indefinite integral at x=1?

Integral Question

Why does X squared divided by radius sqaure = sine theta squared

Calculate the double integral ∫∫ xy^2/ x^2+1 dA where the region of integration R= {(x,y)| 0 ≤ x ≤1, -3 ≤ y ≤ 3}

Evaluate the following integral by converting to polar coordinate system: ∫∫(√4-x^2-y^2)dA, where R={(x,y)| x^2+y^2 ≤ 4, x ≥ 0|}

Evaluate the following integral by converting to polar coordinate system: ∫∫ye^x dA, where the region R is in the first quadrant enclosed by a circle of radius 5 and centered at origin

Evaluate the following iterated integral by converting to polar coordinate system: ∫∫(sin(x^2+y^2) dydx. The bounds are: y=(√9-x^2), y=0, x=3,x=-3

Evaluate the following iterated integral in cartesian variables ∫ ∫ xy(√x^2+y^2) dydx. The bounds are y=1, y=0, x=1, x=0

Use the change of variable formula evaluate the double integral ∫ ∫R 1/ (√1-x^2-y^2) dA where the region R is the part of the cartesian plane above the xaxis between the circles x^2+y^2=1 & x^2+y^2=4

Which of the following options satisfies y(1)?

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