Factor out constants: = 20 integral x/(x^2-25) dx For the integrand x/(x^2-25), substitute u = x^2-25 and du = 2 x dx: = 10 integral 1/u du The integral of 1/u is log(u): = 10 log(u)+constant Substitute back for u = x^2-25: Answer: | = 10 log(x^2-25)+constant