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Today's calculation of Integral 6

Source:

May 5, 2005
calculusintegrationtrigonometrylogarithmsderivativecalculus computations

Problem Statement

Calculate the following indefinite integrals. [1] ∫sin⁡xcos⁡3xdx\int \sin x\cos ^ 3 x dx [2] ∫dx(1+x)xdx\int \frac{dx}{(1+\sqrt{x})\sqrt{x}}dx [3] ∫x2x3+1dx\int x^2 \sqrt{x^3+1}dx [4] ∫e2x−3exexdx\int \frac{e^{2x}-3e^{x}}{e^x}dx [5] ∫(1−x2)exdx\int (1-x^2)e^x dx
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