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Which of the following is the answer to ∫x2sin(3x) dx? Hint: Do not integrate directly. Differentiate and check.
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Which of the following is the answer to ∫x2sin(3x) dx? Hint: Do not integrate directly. Differentiate and check.

Which of the following is the answer to ∫x2sin(3x) dx? Hint: Do not integrate directly-example-1
User Gabrielrincon
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3 votes

we have the expression


\int x^2sin(3x)dx=-(1)/(3)x^2cos(3x)+(2)/(27)(3xsin(3x)+cos(3x))+C

Rewrite the solution


(2)/(9)xsin(3x)-((1)/(3)x^2-(2)/(27))(cos(3x)+C

therefore

The answer is the first option

User Mtfk
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