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We can solve the integral $\int4x\left(\cos\left(x\right)^2+2\right)dx$ 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 4x(cos(x)^2+2) from 1 to 2. We can solve the integral \int4x\left(\cos\left(x\right)^2+2\right)dx 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.