Learn how to solve problems step by step online. Find the integral int((x^2cos(x)-3x)e^(3x))dx. Rewrite the integrand e^{3x}\left(x^2\cos\left(x\right)-3x\right) in expanded form. Expand the integral \int\left(x^2e^{3x}\cos\left(x\right)-3xe^{3x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2e^{3x}\cos\left(x\right)dx results in: \frac{1}{3}e^{3x}x^2-\frac{2}{9}e^{3x}x+\frac{2}{27}e^{3x}. Gather the results of all integrals.
Find the integral int((x^2cos(x)-3x)e^(3x))dx
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