Question

use substitution to evaluate the indefinite integral. solve for x in this substitution.

Answer 1

\[\int\limits_{}^{}((x+1)\sqrt{2-x})dx\]

Answer 2

i found the indefinite integral to be \[2/5(2-x)^{3/2}(x+3) + C\]

Answer 3

i dont know what to do, to solve for x

Answer 4

umm.. from what i know, if you have found the integral, you don't need to solve for x nor can not

Answer 5

You're missing a negative sign but in general you would break it up to:
\[\int x \sqrt{2-x}dx + \int \sqrt{2-x}dx\]
The second one is easy, the first one can be solved with integration by parts.

Answer 6

would my answer be that, or do i have to solve it T_T

Answer 7

without intervals, i dont know wat to do T_T