The value of (\integral \_ { 3 } ^ { 5 } \frac { x ^ { 2 } }... | MATH - FUNDAMENTAL DEFINITE INTEGRATION, DEFINITE INTEGRATION BY SUBSTITUTION | SolveeIt | Solveeit

Today, August 18

Question

The value of $\int _ { 3 } ^ { 5 } \frac { x ^ { 2 } } { x ^ { 2 } - 4 } d x$ is

A

$2 - \log _ { e } \left( \frac { 15 } { 7 } \right)$

B

$2 + \log _ { e } \left( \frac { 15 } { 7 } \right)$

C

$2 + 4 \log _ { e } 3 - 4 \log _ { e } 7 + 4 \log _ { e } 5$

D

$2 - \tan ^ { - 1 } \left( \frac { 15 } { 7 } \right)$

Answer

$2 + \log _ { e } \left( \frac { 15 } { 7 } \right)$

Explanation

Solution

$I = \int _ { 3 } ^ { 5 } \left( 1 + \frac { 4 } { x ^ { 2 } - 4 } \right) d x$

Now proceed yourself