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Question

Mathematics Question on integral

sin25xcos27xdx\int\frac{sin^{25}x}{cos^{27}x}dx is equal to

A

sin26(x)26+C\frac{\sin^{26}(x)}{26}+C

B

cos26(x)26+C\frac{\cos^{26}(x)}{26}+C

C

tan26(x)+C\tan^{26}(x)+C

D

tan26(x)26+C\frac{\tan^{26}(x)}{26}+C

E

26tan26(x)+C26\tan^{26}(x)+C

Answer

tan26(x)26+C\frac{\tan^{26}(x)}{26}+C

Explanation

Solution

The correct option is (D) : tan26(x)26+C\frac{\tan^{26}(x)}{26}+C