Evaluate the antiderivatives.
- \( \int_{}^{} x (x^{2}+1)^{-1/2} dx \)
- \( \int_{}^{} (2x^{2}+4x-1)^{1/2} (x+1)^{ } dx \)
- \( \int_{}^{} \cos^{3 }x dx \)
- \( \int_{}^{} x \sin^{3}(x^{2}) dx \)
Tags: indefinite-integral, quadratic, root, trig, composite, rote-problem, computation, a--a, t2, c1
This is a good set of antiderivative problems that involve U-substitution. I think these types of problems are great to have on a sample exam /review sheet because they are one level above being rote problems. Thus giving the student practice on U-substitution while making them think as they work through the steps.
– Darrin Visarraga 1998-08-09