I have two integrals I havent been able to evaluate from my last homework assignment. here they are. would some one be able to show how these two are done? integral sin^(2)x cos^(5)x dx integral x ln(1+x) dx
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Originally Posted by AnnaBee123 integral sin^(2)x cos^(5)x dx $\displaystyle \sin^2{x}\cos^5{x} = \sin^2{x}(1-\sin^2{x})^2 \cos{x}$ expand the factors with sine, then let $\displaystyle u = \sin{x}$ integral x ln(1+x) dx integration by parts ... $\displaystyle u = \ln(1+x)$ , $\displaystyle dv = x \, dx$ .
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