Mathematics

# $\displaystyle \int \frac{2-x^{2}}{1+x^{2}}dx.$

$\displaystyle -x+3\tan ^{-1}x$

##### SOLUTION
$\displaystyle \int \frac { 2-x^{ 2 } }{ 1+x^{ 2 } } dx=\int \frac { -x^{ 2 }-1+3 }{ x^{ 2 }+1 } dx$

$\displaystyle =\int \left( -1+\frac { 3 }{ x^{ 2 }+1 } \right) dx=-x+3\tan ^{ -1 } x$
Hence, option 'C' is correct.

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

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