448 Answered Questions for the topic integral calculus

Integral Calculus Calculus Work

02/18/19

If 5 J of work is needed to stretch a spring 10 cm beyond the equilibrium, how much work, W, is required to stretch it 16 cm beyond the equilibrium?
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Integral Calculus Calculus Work

02/18/19

A force of 3 pounds compresses a 15 inch spring a total of 3 inches. How much work (in ft-lbs) is done in compressing the spring 6 inches?
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Integral Calculus Calculus

01/26/19

Evaluate the question
Integration upper limit pi/2 and lower limit 0 dx/1+sinx
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Integral Calculus Calculus Derivative Integral

01/15/19

Help me solve this calculus problem, Please.
Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?
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Integral Calculus Math Calculus

11/30/18

Is this legal in integration? integral of (2x * 3x^2) dx is the same thing as integral of (2x) * integral of (3x^2)
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Integral Calculus Calculus Derivative Integral

11/29/18

Use The Definite Integral (Riemann Sum) to evaluate integral (2+3x-x^2) where x is from 1 to 5?
The solution should include Δx and xi
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Integral Calculus Proving

10/29/18

NO ONE CAN ANSWER INTEGRAL
Let n ∈ N. prove that integral (from 0 to pi/2) [(sinnx)/(sinnx+cosnx)]dx = pi/4
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Integral Calculus

10/29/18

Integral Calculus
Find ∫0pi g"(t)dt given that g(t)=∫1sin(t)[√x2+1] dx
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Integral Calculus Proving

10/27/18

Proving. By integration
If F(x) = integral (from 1 to x) [f(t)]dt , where f(t) = integral (from 1 to t^2) [(sqrt1+u^2)/u]du, find F"(2)
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Integral Calculus

10/27/18

Integral Proving
1.Find integral (from 0 to pi) [g"(t)]dt given that g(t) = integral (from 1 to sin(t)) [sqrtx^2+1]dx
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Integral Calculus

10/26/18

Integral Calculus Proving
Find a function f and a number c such that:6+∫cx (f(t)/t)dt=2√x for all x>0
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Integral Calculus

10/17/18

Find the volume of the solid whose base is the semicircle y= squareroot( 16-x^2), where -4< x< 4 and whose cross section perpendicular axis are squares
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Integral Calculus Math Calculus Integrals

09/22/18

Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).
 Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).   Hint: Use the Mean-Value Theorem.(Recall that, if P = (x0,x1,...,xn), then... more
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Integral Calculus

09/04/18

Integrate a^(px)b^(mx)dx
Integrate with whole solution
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Integral Calculus Calculus

08/23/18

Does (lnx)^2/x^1.2 converge or diverge in the limits 1 to infinity
Does the integral converge or diverge?                          ∫1∞(lnx)2/x1.2 dx
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05/11/18

calculus question, need help please!
Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3.   a)  Write the area of R as a definite integral.   b)  Calculate the area of R.
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Integral Calculus Definite Integration Calculus 1

02/11/18

What is ∫-7^-1 f(x)dx?
suppose that f(x) is an even function and let ∫0^1 f(x)dx = 5 and ∫0^7 f(x)dx = 1. What is ∫-7^-1 f(x)dx?   This is my work   I expand ∫-7^-1 f(x)dx to F(-1) - F(-7)   F(-1) - F(-7) is the... more
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Integral Calculus

11/29/17

What is the Integral of Xsqrt(4+x^2) and the Integral of Xsqrt(4-x^2) ? Using trig substitution
Using the techniques of trig substitution : ∫×√(4+x2 )    dx and  ∫×√4-x2 ) dx How can I solve these using trig substitution?
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Integral Calculus

11/01/17

To find area under curve using integral calculus
Area bounded by y2=x-1 and the line y=x-3
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Integral Calculus Math Geometric Series Calculus 2

10/23/17

A ball drops from a height of 20 feet. Assume it goes on forever, find the total distance it travels.
A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 40 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
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Integral Calculus

05/19/17

Does this series converge ?
Zero to infinity∑ (-1)n * ((5n2+7)/(7n2+10))^n    I think I have to use the root test but not sure. What test do I use? If it is the root test, does the square root cancel the both n's on each... more
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Integral Calculus Calculus Area Integral

04/02/17

plane areas in rectangular coordinates (please help)
Find the area bounded by the curve: y = x(x-1)^2, the line y = 2, and the y - axis
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Integral Calculus

03/24/17

If f is continuous on [a,b] find the constant k that minimizes the integral from a to b of (f-k)^2?
How do I do this ?
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Integral Calculus

03/24/17

Find volume of solid obtained by revolving the region bounded by y=x^3 and y=sqrt(x)
I dont understand this because when I find the intersection points which is x=0 and x=1 , how do I know which is the outer and lower function ?
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Integral Calculus Calculus 2

02/19/17

Does anyone know how to integrate 2pi*(1-x^2)*sqrt(4x^2+1)
Basically what the questions states. Thanks
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