Learn how to solve integrals of exponential functions problems step by step online. Integrate the function (sin(x)ln(x))/(x^3) from 1 to infinity. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. We can solve the integral \int x^{-3}\sin\left(x\right)\ln\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 or choose u and calculate it's derivative, du. Now, identify dv and calculate v.

Integrate the function (sin(x)ln(x))/(x^3) from 1 to infinity