The value of $\mathop \smallint \limits_0^1 \,\frac{{{x^3}}}{{1 + {x^8}}}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \limits_0^1 \,\frac{{{x^3}}}{{1 + {x^8}}}\,\,dx

, is

View answer and explanation

Correct option: C

\frac{\pi }{16}

Option C (

\frac{\pi }{16}

) is correct because it is the result of substituting

x^4 = t

and evaluating the resulting integral.

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