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$\int_{0}^{5}6\left(\frac{-240}{x+1}+340\right)dx$
Learn how to solve integrals with radicals problems step by step online. Integrate the function 6((1*-240)/(x+1)+340) from 0 to 5. Simplifying. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{0}^{5}\left(\frac{-240}{x+1}+340\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int_{0}^{5}\frac{-240}{x+1}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.