448 Answered Questions for the topic integral calculus

Integral Calculus

04/14/21

Solve the following Mean Value Problems
1. Given f(x) = 3x^2 + 1, find c such that f(c) equals the average of f(x) = 3x^2 + 1 over (0,2).2. Given f(x) = x^3 - 1, find c such that f(c) equals the average of f(x) = x^3 - 1 over... more
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Integral Calculus Calculus Integral

04/14/21

Evaluate the integral using the indicated trigonometric substitution.

∫5x^3(sqrt(9−x^2))dx and x =3sin(θ)
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Integral Calculus Math Calculus Mathematics

04/12/21

I need some help with math

For 0 ≤ t ≤ 12 , a roller coaster car has position (x(t),y(t)) with velocity vector ⟨10, −tsin(πt/4)⟩ , where x(t) and y(t) are measured in meters and t is measured in seconds. At time ... more
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Integral Calculus Calculus Integral

04/07/21

find *integral sign with 9 at the top and 1 at the bottom* (x-3)/square root of x dx
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Integral Calculus Calculus Integral

04/07/21

find *integral sign with 3pi/2 at the top and -pi/2 at the bottom* (1+sintheta)dtheta

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Integral Calculus Calculus Integral

04/07/21

*integral sign* (6w *square root* w) dw
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Integral Calculus Math Calculus Mathematics

03/29/21

Hi, I need help with math
What is the slope of the line tangent to the polar curve r=4θ^2 at the point where θ=pi/4a) pi/2b) pi^2/4c) 8+pi/8-pid) something else?
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Integral Calculus Math Calculus Mathematics

03/28/21

Please help with math question
A curve is defined by parametric functions x(t) and y(t), where dx/dt = 3t^2 and dy/dt = t^7-2t^4. For what positive value of t is d^2y/dx^2 = 1?a) 1.202b) 1.149c) 1.079d) 1.525
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Integral Calculus Math Calculus Maths

03/28/21

Integral logarithmic calculus math help.
Pls find ∫x(2+x)logx2dx I dont know how to do calculus of a logs base, here x is the base of the log.
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Integral Calculus Calculus Derivative Integral

03/22/21

estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.
estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.
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Integral Calculus Calculus Derivative

03/20/21

Use the trapzoid rule to estimate the distance traveled by the car during the 12 seconds
A car going 88 ft/sec brakes to a stop in 12 seconds. The velocity is recorded every 3 seconds and is given in the table below. Use the trapezoidal rule to estimate the distance traveled by the car... more
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Integral Calculus Calculus Mathematics Integral

03/16/21

substitution integrals

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Integral Calculus Calculus Integral

03/14/21

What's the integral of 1/sqrt(x^2 -4)?
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Integral Calculus

03/11/21

xy’-9y=x^10e^x What is the solution of the differential equation

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Integral Calculus Calculus

03/11/21

2. Find the area of the region bounded by the curve y=x^3-2x^2-5x+6, the x-axis and the lines x=-1 and x=2
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Integral Calculus

03/09/21

Evaluate the integral x dx/x^2+2 from 0 to 1
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Integral Calculus Math Calculus Derivative

03/08/21

Use the Fundamental Theorem of Calculus to carry out the following differentiation:
Use the Fundamental Theorem of Calculus to carry out the following differentiation:d ∫1√x tt dt= ?dxintegral from 1 to sqrt x
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Integral Calculus Math Calculus Derivative

03/08/21

If f(x) = integral 3 to x^2 t^4 dt, then f'(x) =?
f(x) = ∫3x^2 t4 dt, then what is f ' (x)= ?
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Integral Calculus

03/03/21

Surface area of a line rotated about x axis
Can u guys find the surface area of y=(x^3)/3 rotated about x axis (0=<x=<1)
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Integral Calculus Integral

02/20/21

Hi! Please help me to answer this integral, in detailed
It is a fraction so it goes something like thisIntegral of (e2x)(1-e4x)-1/2 all over (arcsin e2x)cos2(ln (arcsin e2x)) (dx on the middle of the fraction)Please provide me with a detailed step so I... more
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Integral Calculus Math Calculus Mathematics

02/16/21

Need help with math ASAP
Let f be the function defined by f(x)=4/(x^2).----------------------------------Approximate the value of 12(upper limit)∫1(lower limit) f(x) dx using a left Riemann sum with the... more
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Integral Calculus Integral

02/15/21

What is the solution of this math?
∫4x / (x2+5)2 dx
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Integral Calculus Calculus Integral

02/15/21

What is the solution of this math?
∫3x2+2 / √(3x2+4) dx
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Integral Calculus Calculus Anti Differentiation

02/15/21

Find the Equation of The Tangent Line through the point (1,2) on the curve x^2+4y^2-4x-8y+3=0
Find the Equation of The Tangent Line through the point (1,2) on the curve x2+4y2-4x-8y+3=0
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Integral Calculus Calculus

02/07/21

Find f if f′(x)=4/sqrt(1−x^2) and f(1/2)=5.
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