Find the integral of

Question

x times the square root of (400-100x^2)dx

Answer 1

intgrl(x(400-100x^2)^(1/2) dx

= (2/3)x(400-100x^2)^(3/2) * 1/(-200x) + c
= (-1/300) (400 - 100x^2)^(3/2) + c

Answer 2

Thank you!