448 Answered Questions for the topic integral calculus

Integral Calculus Calculus Integral

10/28/19

Use substitution to find ʃ x(x^2 – 4)^2 dx
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Integral Calculus Integral

10/21/19

Find an integral of function
Find an integral of the function:f(x)= (ln abs(x+7))abs=absolute value
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Integral Calculus

10/20/19

Calculus: Integral Calculus

Evaluate ∫1/(1-cos(x)+sin(x))
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Integral Calculus Calculus

10/18/19

Show that the integral from 1 to infinity og 1/(1+x^2) equals the integral from 0 to 1 of 1/(1+t^2) using the substitution t = 1/x
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Integral Calculus Calculus Centroid

10/10/19

Finding centroid
A quarter with the center at the origin and radius of 1 unit is out from a square with side of 1 unit. the square has its lower left corner at the origin. Determine the centroid of the remaining area. more
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10/09/19

What is the integral of 1/((121x^2 + 4)^2) ?
Im really not sure where to start with this. Thank you
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10/09/19

What is the integral of: 1/(x * sqrt(x^2 + 4))
Hi, Im having a lot of trouble with this calculus problem. I used x= 2 tan theta for my substitution, rather than any u substitution because my professor does not do it that way. However after I... more
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Integral Calculus Math Calculus

09/27/19

Integrate (1-x^9)^1/5 - (1-x^5)^1/9 from 0 to 1
∫(1-x9)^(1/5) - (1-x5)^(1/9) from 0 to 1and please show me your solutionThank you for all answers in advance
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Integral Calculus Calculus Calculus 2 Usub

08/31/19

If f is continuous and [0 to 8] f(x)dx = 15, evaluate [0 to 2] f(4x)dx
If f is continuous and [0 to 8] f(x)dx = 15, evaluate [0 to 2] f(4x)dx
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Integral Calculus Calculus Calculus 2 Usub

08/31/19

If f is continuous and [0 to 9] f(x)dx = -10, find [0 to 3] xf(x^2)dx
If f is continuous and [0 to 9] f(x)dx = -10, find [0 to 3] xf(x2)dx
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Integral Calculus Calculus

08/19/19

limit of summation notation of (i^4/n^5+i/n^2) when n goes to infinity on interval[0,1]
evaluate limit by recognizing it as a Riemann sum for a function f(x) on the interval [0,1],and then using integrationlimit(n to inf) sigma(i^4/n^5+i/n^2) ,,(i from 1 to inf)my teacher said that we... more
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Integral Calculus Math Calculus Algebra

08/18/19

Find the area of the region bounded by following

Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or y. Find the area of the region bounded by:2y=5sqrtxy=32y+4x=9
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Integral Calculus Calculus Derivative

08/03/19

Given f'(x) = e^kx find k by finding the gradient of a tangent that intersects f(x) at (1,e^2) and also passes through the origin
A curve for which f'(x)= e^kx where k is a constant, is such that the tangent at (1,e^2) passes through the origin find the gradient of the tangent to determine k and then integrate to find... more
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Integral Calculus Math Calculus

07/29/19

The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles
The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectanglesA= lim (n->inf) fn = lim (n->inf) [... more
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Integral Calculus Math Calculus Integral

07/27/19

Evaluate the following integral using the following values. Integral xdx [4,4]
 6 4 x3 dx = 260  6 4 x dx = 10  6 4 dx = 2Integral: 4 4 x dx
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Integral Calculus Mathematics

07/24/19

integration - sqrt(5)/(1+ sin x)^2
1) differentiate -cos x / (1 + sin x) with respect to x.2) hence find the ∫√5/(1 + sin x) ^2 dxMy answer to part 1 is 1/(1 + sin x). How does part 1 used in part 2?
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Integral Calculus Calculus

07/23/19

How can i find the equation of a tangent to a curve given an equation and a point
the question says dy/dx = e^kx (k is constant) is such that the tangent at (1,e^2) passes through the origin, find the equation of this tangent. I have subbed in the point to find k=2 (therefore... more
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Integral Calculus Math Calculus Particular Solution

07/04/19

Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y(pi/3)= 1.
Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y(pi/3)= 1.A. -2cos(x)B. 3 - 2cos(x)C. 2 - 2cos(x)D. -1 - 2cos(x)
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Integral Calculus Calculus

07/04/19

Integral, At what value of t does the local max of f(t) occur?
GivenIntegral (a=0.b=t) [(x^2+11x+18)/(1+cos^2(x)]dx At what value of does the local max of occur?
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Integral Calculus Calculus

06/28/19

Integrate the function f(x) and compare the given solution to find the value of the constants 'a' and 'b'
If int {1/x√(1-(x)^3) } dx = a log mod {√(1-x^3-1) / √(1- x^3 +1) } + b , Then find the value of 'a' and 'b' .
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Integral Calculus Calculus Integral

06/22/19

Integral Calculus HELP
Approximate the value of the integral by use of the trapezoidal​ rule, using n=88.Integral from 0 to 9 Root 81-x^2 dx
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Integral Calculus Calculus Integral

06/22/19

Integral Calculus HELP
Approximate the value of the given integral by use of the trapezoidal​ rule, using the given value of n.Integral from 2 to 3 6/7x dx n = 2
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Integral Calculus Calculus Integral

06/21/19

Integral Calculus HELP
Approximate the value of the given integra (a) Use the trapezoidal​ rule, using n=4.​(b) Check by direct integration.Integral from 0 to 2 3x^2 dx
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Integral Calculus Math Calculus Volume

06/21/19

What integral will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x, x=1, and y=1 is revolved around the line y=-2?
What integral will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x, x=1, and y=1 is revolved around the line y=-2?
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Integral Calculus Math Calculus Volume

06/21/19

The region in the first quadrant bounded by the x-axis, the line x=ln(n), and the curve y=sin(e^x) is rotated about the x-axis. what is the volume of the generated solid?
The region in the first quadrant bounded by the x-axis, the line x=ln(n), and the curve y=sin(e^x) is rotated about the x-axis. what is the volume of the generated solid?
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