Question

What would the integral of a polynomial and a square root ( ex. (5x^4 -3) * sqrt(6x^2 + 10x) ) be? What method (usub, integration by parts, etc.) would you use to do this?

Answer 1

maybe plotting it?

Answer 2

It really depends on the equation itself. If a U-substitution seems viable, by all means. If not, then resort to integration by parts. I also recommend to see things differently you can turn your square root into an exponent to the -1/2.

Answer 3

It is completely dependent on the integrand.