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1. 2. Let u and v represent functions of x. According to the product rule, the derivative of uv with respect to x is equal to d (uv) dv v+u a) b) c) d) Rewrite this equation. Then multiply both sides by the differential dx and simplib'. Integrate both sides. On the left side you should be able to simpliW. (The integrand is 1.) Isolate the integral of u dv. The final equation should look like this. u dv = uv Use this formula to evaluate the integral. v du see. a) b) x cos x dx This double substitution (u dv method) is useful, but at times it can also be slow, as you will x3 sin x dx Evaluate this integral using the u dv medH)d. Evaluate this integral using the tabular method.