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We can solve the integral $\int\left(t+3\right)\cos\left(\frac{\pi n}{3}t\right)dt$ 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 problems step by step online. Integrate the function (t+3)cos((npi)/3t) from -3 to 0. We can solve the integral \int\left(t+3\right)\cos\left(\frac{\pi n}{3}t\right)dt 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.