Solveeit Logo

Question

Mathematics Question on Definite Integral

The value of the integral 24xx2+1dx\int\limits_2^4 \frac{x}{x^2+1} dx is:

A

12log(517)\frac{1}{2}log(\frac {5}{17})

B

12log(175)\frac{1}{2}log(\frac {17}{5})

C

2log(517)2log(\frac{5}{17})

D

2log(175)2log(\frac{17}{5})

Answer

12log(175)\frac{1}{2}log(\frac {17}{5})

Explanation

Solution

The correct option is (B):12log(175)\frac{1}{2}log(\frac {17}{5})