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Question

Mathematics Question on Definite Integral

∫01xex(2+x)3 dx\int\limits_{0}^1\frac{xe^x}{(2+x)^3}\ dx is equal to

A

127.e−18\frac{1}{27}.e-\frac{1}{8}

B

19.e+14\frac{1}{9}.e+\frac{1}{4}

C

127.e+18\frac{1}{27}.e+\frac{1}{8}

D

19.e−14\frac{1}{9}.e-\frac{1}{4}

Answer

19.e−14\frac{1}{9}.e-\frac{1}{4}

Explanation

Solution

The correct answer is (D) : 19.e−14\frac{1}{9}.e-\frac{1}{4}.