Which of the following is an antiderivative of ?

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Which of the following is an antiderivative of

\dfrac{6x+5}{3x^{2}+5x+7}

? (a)

\dfrac{(3x^{2}+5x+7)^{2}}{2}+C

(b)

\dfrac13\,\ln|3x^{2}+5x+7|+C

(c)

\ln|3x^{2}+5x+7|+C

(d)

\arctan\!\Bigl(\dfrac{3x+5}{\sqrt{3}}\Bigr)+C