JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_{0}^1 x^3(1-x)^{11} \mathrm{~d} x

is equal to

View answer and explanation

Correct option: D

\frac{1}{11}-\frac{3}{12}+\frac{3}{14}-\frac{1}{14}

Option D (

\frac{1}{11}-\frac{3}{12}+\frac{3}{13}-\frac{1}{14}

) is correct because using the property of definite integrals and expanding the polynomial simplifies the integral to the given expression.

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