270 Answered Questions for the topic integral

05/26/20

Determine whether this series is a convergent or divergent.
Determine whether this series is a convergent or divergent.∑ n=1∞ 1 /n + n cos2n Would you please explain in steps 😊
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05/26/20

Determine whether this series is a convergent or divergent.
Determine whether this series is a convergent or divergent.∑ n=1∞ [(n + 1)!]2 /(2n + 2)!Wwould you please explain in steps 😊
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05/26/20

Find the radius of convergence and interval of convergence of the following power series ∑n=1 ∞ (X-1)^n ÷ 3n(n+1)^3
Find the radius of convergence and interval of convergence of the following power series∑n=1 ∞ (X-1)^n ÷ 3n(n+1)^3Please I hope if you know how to answer, when you explain this question to put... more
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05/23/20

using two dy integral rotate according to y axis
Let R be the region in the first quadrant bounded by the curvesy = f(x) = 2x+ 1 y = g(x) = 2x^2 − 8x + 9Find the volume of the solid obtained by rotating the region R about y-axis using two... more
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05/22/20

Find the volume of the solid obtained by rotating
Let R be the region in the first quadrant bounded by the curves y = f(x) = 2x+ 1 and y = g(x) = 2x^2 − 8x + 9Find the volume of the solid obtained by rotating the region R about the line y = 10... more
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Integral Calculus

05/14/20

A particle moves a long a coordinate line. It's velocity function is v(t) for when t is greater than or equal to 0. If v(t)= -2t-1 what is the total displacement of the object from t=0 to t=5 seconds
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05/13/20

If if f is integrable on [a, b] show by example that F(t)= integral from a to t f( x ) dx is continuous but need not to be differentiable
If if f is integrable on [a, b] show by example that F(t)= integral from a to t f( x ) dx is continuous but need not to be differentiable
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05/13/20

How do I integrate this?
integrate (1/(sqrt(x)+sin(x)))
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05/10/20

Integrate (1+x^2)/(1+x^3)
I just can't manage to integrate this expression, I need help
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04/22/20

Use a power series to approximate the definite integral, I, to six decimal places: the integral from 0 to 0.3 of ((x^5)/(1+x^4))dx
NEED HELP ASAP! please provide step by step solution, especially on how to estimate the integral to 6 decimal places. How can you do so without a calculator?
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04/15/20

Integration Methods
1. ∫5 1 / x(6+5x) dx 1Examine the form of integral which involve a+bu. Let u=x, a=6, and b=5.
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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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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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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 Math Calculus

03/02/20

revolving curves

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line  y=-6. Given curves: x=y^2, y=x^2
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02/24/20

Integral of (3x^2+1)/(3x^3+x^2+x+1) using partial fractions
Please answer with step by step solution. Need ASAP. Thanks!
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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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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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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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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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12/10/19

Thermodynamics and Integral? I think I was approaching it wrong, and I don't know where to begin.
I started using the idea that delta U = W because it is adiabatic for the first expansion. I was told by a peer to use w = integral of PdV equation, but someone else also suggested that W=nCdeltaT... more
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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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11/01/19

If F(x) satisfies F ’ (x) = f(x), and F(A) = 10, F(B) = 15, what is ʃ f(x)dx, if the limits of the integral are B (upper) and A (lower)?
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Integral Calculus Integrals

11/01/19

What is ʃ e^(1/2)x (dx)?
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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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