Mathematics

Problem

The answers are in Chapter 24. 1. Evaluate

\int \frac{x^{2}}{\left(4 x^{3}+1\right)} d x

. (A)

\frac{1}{12} \ln \left|4 x^{3}+1\right|+C

(B)

\quad \ln \left|4 x^{3}+1\right|+C

(C)

\frac{-1}{\left(4 x^{3}+1\right)^{2}}+C

(D)

\frac{x^{3}}{\left(4 x^{3}+1\right)^{2}}+C

(A)

\frac{1}{12} \ln \left|4 x^{3}+1\right|+C

(B)

\quad \ln \left|4 x^{3}+1\right|+C

(C)

\frac{-1}{\left(4 x^{3}+1\right)^{2}}+C

(D)

\frac{x^{3}}{\left(4 x^{3}+1\right)^{2}}+C