Evaluate the integral.

Name: Evaluate the integral.
Brand: Quizplus
Rating: 4.8 (40 reviews)

Question

Quizplus · Accepted Answer

The integral can be written as $\int \frac{x^2}{1+x^4} dx$. By substituting $u=x^2$, $du=2xdx$, we can change the integral to $\frac{1}{2} \int \frac{1}{1+u^2} du$. Then using the substitution $v=u,\ dv=du$, we get $\frac{1}{2} \arctan(u) + C=\frac{1}{2} \arctan(x^2) + C$. Therefore, the correct answer is C.

Evaluate the Integral