MathDB
Today's calculation of Integral 14

Source: created by kunny

May 14, 2005
calculusintegrationtrigonometrylogarithmsfunctionalgebradomain

Problem Statement

Calculate the following indefinite integrals. [1] ∫sin⁡xcos⁡x1+sin⁡2xdx\int \frac{\sin x\cos x}{1+\sin ^ 2 x}dx [2] ∫xlog⁡10xdx\int x\log_{10} x dx [3] ∫x2x−1dx\int \frac{x}{\sqrt{2x-1}}dx [4] ∫(x2+1)ln⁡xdx\int (x^2+1)\ln x dx [5] ∫excos⁡xdx\int e^x\cos x dx
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