Integrate the following expressions with respect to $x$: \(\displaystyle\displaystyle \displaystyl

Question

Integrate the following expressions with respect to $x$: $\displaystyle\displaystyle \displaystyle\int \frac{7}{5x} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{3}{2x+4} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{6-(3x-2)^4}{(3x-2)^5} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{\sqrt{4-2x}+2}{\left(\sqrt{4-2x}\right)^{3}} \, \mathrm{d}x$

Accepted Answer

(a) $\dfrac75\ln|x|+C$ (b) $\dfrac32\ln|2x+4|+C$ (c) $-\dfrac1{2(3x-2)^4}-\dfrac13\ln|3x-2|+C$ (d) $-\dfrac12\ln(4-2x)+\dfrac2{\sqrt{4-2x}}+C$

Integration - Integration of Power Functions

Integration - Integration of Power Functions

Solution:

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