Definite integral

Calculus Level 5

∫ 0 4 x 3 4 x − x 2 d x = A π \large{\displaystyle \int^{4}_{0} x^3 \sqrt{4x-x^2} dx=A \pi}

Find the value of A A


The answer is 28.

Tanishq Varshney by Tanishq Varshney , 23, India

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1 solution

Ankush Gogoi
Jul 31, 2015

3 Helpful 0 Interesting 0 Brilliant 0 Confused

One can use Walli's Formula also towards the end instead of Gamma function.

Deepak Kumar - 5 years, 10 months ago

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