Problem to solve:
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$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve calculus problems step by step online. Solve the trigonometric integral int(x*cos(b*x))dx. Use the integration by parts theorem to calculate the integral \int x\cos\left(bx\right)dx, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.