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Today's calculation of Integral 11

Source: created by kunny

May 11, 2005
calculusintegrationlogarithmsalgebrafunctiondomaincomplex numbers

Problem Statement

Calculate the following indefinite integrals. [1] ∫6x+13x2+x+4dx\int \frac{6x+1}{\sqrt{3x^2+x+4}}dx [2] ∫exex+ea−xdx\int \frac{e^x}{e^x+e^{a-x}}dx [3] ∫(x+1)3xdx\int \frac{(\sqrt{x}+1)^3}{\sqrt{x}}dx [4] ∫xln⁡(x2−1)dx\int x\ln (x^2-1)dx [5] ∫2(x+2)x2+4x+1dx\int \frac{2(x+2)}{x^2+4x+1}dx
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