[tlg_steps style=”steps-style-2″][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2F” title=”Calculus” icon=”ti-arrow-circle-right” subtitle=”Topics”][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2Fintegration%2F|title:Introductory%20Calculus” title=”Integration” icon=”ti-arrow-circle-right” subtitle=”Topics”][/tlg_steps]

In this example, there is a product of x^2 and cosx dx in the integrand.

Does simple u-substitution method work for this example?

In order to use the simple u-substitution method, the relationship between two functions must be the original and its derivative each other except for constants.

Unfortunately, x^2 cannot be the derivative of cosx or cosx cannot be the derivative of x^2 either. Therefore, we cannot use the u-substitution method here.

Then Let’s try to use Integration by parts method.