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The integral of a function times a constant ($5$) is equal to the constant times the integral of the function
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$5\int\sec\left(x\right)^3dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(5sec(x)^3)dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. Rewrite \sec\left(x\right)^3 as the product of two secants. We can solve the integral \int\sec\left(x\right)^2\sec\left(x\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.