Evaluate ∫$$e2xsin$$⁡$$3xdx$$

Correct option is 3e2x13(2sin⁡3x−3cos⁡3x)+c

Questions

$Evaluate \int e^{2 x} \sin 3 x d x$

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e2x13(3sin⁡3x−2cos⁡3x)+c

e2x13(2sin⁡3x+3cos⁡3x)+c

e2x13(2sin⁡3x−3cos⁡3x)+c

None of these

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detailed solution

Correct option is C

∫e2xsin⁡3xdx=e2x22+32(2sin⁡3x−3cos⁡3x)+c =e2x13(2sin⁡3x−3cos⁡3x)+c using the formula ∫eaxsin(bx+c) dx =eaxa2+b2asin(bx+c)-bcos(bx+c)

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Evaluate ∫e2xsin⁡3xdx

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$Evaluate \int e^{2 x} \sin 3 x d x$