absolute value of ∫(sinx)/(1+x8) from 10 to 19 is less than 10-10 10-11 10-7 10-9

absolute value of ∫(sinx)/(1+x8) from 10 to 19 is less than 10-10 10-11 10-7 10-9

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)...

integrate √[ (1+y)/(1-y) ]dy from -1 to 0 the answer is: (pi/2) -1

I was asked to calculate the area between two functions, y=e^x and y=x using midpoint riemann sums from 0-2 with n=4. so i found my answer by subtracting the second sum from the first. The second...

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

2∫ab f(x)f'(x)dx=[f(b)]2-[f(a)]2

A spinning liquid of any sort forms a paraboloid; a three dimensional parabolic shape. Therefore, you can apply the physics principles relating to centripetal motion to any mass, m, on the surface...

Find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y=x^2+4, y=6x-6; -1 <x<2

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

Integral of tan inverse of x divided by x, limits are from 1/2014 to 2014

I still havent learned anthing about logarithm derivatives yet so i have no idea how to proof this even i know the answer is ln2. So far with the definition of integral i transformed...

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones: First problem:...

I have an integral with ∫ (b=0, a=-1) and the inside function is (2t)/[(3+t2)3]dt. The directions tell me to "Evaluate the definite integral by making a u-substitution and integrating...

Calculate the integral of: cos [2x] π. cos πx dx From 0 to 1.

No limit is visible in integral notation, but integration is defined in terms of a limit. Give the definition; explain what is being limited, and how this allows an integral to calculate the...

∫ba (2+x-x2)dx

The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding...

integrate from pi/6 to pi/2 (x+16/(sinx^2))dx

Use the substitution u = x - 1/x to show that the integral from 1 to (√pi +√2)/2...

definite integral question