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Question

Evaluate: cos4x+1cotxtanxdx

A
18cos4x+C
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B
14cos4x+C
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C
14cos4x+C
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D
18cos4x+C
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Solution

The correct option is D 18cos4x+C
Qcos4x+1cosxtanxdx

=2cos22xcos2xsin2x.sinxcosxdx

2cos22x.sinxcosxcos2xdx

cos2x.sin2xdx

122sin2xcos2xdx

12sin4xdx

12cos4x4+c

18cos4x+c

1072608_1025637_ans_c8f2d2849cb5478d9b5b831b7201d70e.jpeg

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