Question
f(x)=x(2+x^2)^2 Answer: ((x^2+2)^3)/(6)+C
Solution
4
(278 Votes)
Zoe
Veteran ยท Tutor for 12 years
Answer
The provided answer is incorrect. Let's find the correct integral of
.We can solve this using substitution. Let
. Then, the derivative of
with respect to
is
, which means
, or
.Now, substitute
and
into the integral:
Now, integrate with respect to
:
Finally, substitute back the original expression for
:
Therefore, the correct answer is
.