A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate

\displaystyle \int \frac{3x+2}{x^{2}+1}\,dx

. (a)

\dfrac{3}{2}\ln|x|+2\arctan x + C

(b)

3\ln(x^{2}+1)+2\arctan x + C

(c)

\dfrac{3}{2}\ln(x^{2}+1)+2\arctan x + C

(d)

\dfrac{3}{2}\ln(x^{2}+1)-2\arctan x + C