$\mathop \smallint \nolimits_0^1 \,\,\frac{{{x^2}}}{{1 + {x^2}}}\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^1 \,\,\frac{{{x^2}}}{{1 + {x^2}}}\,\,dx

is equal to

View answer and explanation

Correct option: D

1\,\, - \,\,\frac{\pi }{4}

Option D (

1\, - \,\,\frac{\pi }{4}

) is correct because the definite integral is evaluated by rewriting the integrand and using the arctangent integral.

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