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Question

Mathematics Question on Integration

∫x5e1−x6dx=\int x^5e^{1-x^6}dx=

A

16e1−x6+C\frac{1}{6}e^{1-x^6}+C

B

−e1−x6+C-e^{1-x^6}+C

C

−16e1−x6+C\frac{-1}{6}e^{1-x^6}+C

D

x55e1−x6+C\frac{x^5}{5}e^{1-x^6}+C

E

x66e1−x6+C\frac{x^6}{6}e^{1-x^6}+C

Answer

−16e1−x6+C\frac{-1}{6}e^{1-x^6}+C

Explanation

Solution

The correct option is (C): −16e1−x6+C\frac{-1}{6}e^{1-x^6}+C