$\mathop \smallint \nolimits_0^1 \,\,\frac{{{x^7}}}{{\sqrt {1\,\, - \,\,{x^4}} }}\;\,\,dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^1 \,\,\frac{{{x^7}}}{{\sqrt {1\,\, - \,\,{x^4}} }}\;\,\,dx

is equal to

View answer and explanation

Correct option: B

\frac{1}{3}

Option B (

\frac{1}{3}

) is correct because it is the result of evaluating the definite integral using substitution and the Gamma function.

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f(x)

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f\left(\frac{4}{25}\right)

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{C}

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