💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

If $f$ is continuous and $\displaystyle \int^9_0 f(x) \, dx = 4$, find $\displaystyle \int^3_0 xf(x^2) \, dx$.

$\int_{0}^{3} x f\left(x^{2}\right) d x=2$

Discussion

You must be signed in to discuss.
Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp

Video Transcript

Okay. The first thing you know we can do is we can write the integral from 0 to 3 off of ax squared D backs. Now, we know that if we let given the fact that you is x squared, we can pull out 1/2 because it's our constant. And now we know that we can write this as 1/2 off of you from 0 to 9 and then using the fundamental theme of calculus equivalent to from nine minus half of zero, divide by two, which is equivalent did too. So we know the solution to this is indeed to and again this because off of nine miles off of zeros for it.

Topics

Integrals

Integration

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp