Exercise
$\int rg^5xsec^2xdx$
Step-by-step Solution
Learn how to solve integration by parts problems step by step online. Find the integral int(rg^5xsec(x)^2)dx. The integral of a function times a constant (r) is equal to the constant times the integral of the function. The integral of a function times a constant (g^5) is equal to the constant times the integral of the function. We can solve the integral \int x\sec\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.
Find the integral int(rg^5xsec(x)^2)dx
Final answer to the exercise
$g^5rx\tan\left(x\right)+g^5r\ln\left|\cos\left(x\right)\right|+C_0$