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We can solve the integral $\int2e^{3x}xdx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
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$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve definite integrals problems step by step online. Integrate the function 2e^(3x)x from 0 to 2. We can solve the integral \int2e^{3x}xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.