JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \,\,\frac{{{x^{49}}\,\,\,{{\tan }^{ - 1}}\,\,\left( {{x^{50}}} \right)}}{{\left( {1 + {x^{100}}} \right)}}\,\,dx = k\,{\left[ {{{\tan }^{ - 1}}\,\,\left( {{x^{50}}} \right)} \right]^2} + c

, then

k

is equal to

View answer and explanation

Correct option: C

\frac{1}{{100}}

Option C (

\frac{1}{{100}}

) is correct because it is the coefficient of the squared arctangent term after performing the integration by substitution.

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