Evaluate ∫$$sin3$$⁡xdx

Correct option is 2−34cos⁡x+cos⁡3x12+C

Questions

$Evaluate \int \sin^{3} x d x$

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−34cos⁡x+cos⁡3x4+C

−34cos⁡x+cos⁡3x12+C

34cos⁡x-cos⁡3x12+C

None of these

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detailed solution

Correct option is B

sin⁡3x=3sin⁡x−4sin3⁡xsin3⁡x=3sin⁡x−sin⁡3x4∫sin3⁡dx=∫3sin⁡x−sin⁡3x4dx=34∫sin⁡xdx−14∫sin⁡3xdx=34(−cos⁡x)−14−cos⁡3x3+C=−34cos⁡x+cos⁡3x12+C

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Evaluate ∫sin3⁡xdx

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$Evaluate \int \sin^{3} x d x$