Calculate the exact value of .

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

Problem

Calculate the exact value of

\displaystyle \int_{1}^{4} \frac{5x+1}{x^{2}+3x}\,dx

. (a)

\dfrac{1}{3}\ln 4+\dfrac{14}{3}\ln 7

(b)

\dfrac{13}{3}\ln 4-\dfrac{14}{3}\ln 7

(c)

\dfrac{14}{3}\ln 4+\dfrac{1}{3}\ln\dfrac{7}{4}

(d)

\dfrac{1}{3}\ln 4+\dfrac{14}{3}\ln\dfrac{7}{4}