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

Question

Integrate the following expressions with respect to $x$: $\displaystyle\displaystyle \displaystyle\int \frac{5}{6x} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{1}{4x-3} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{8+(4x-3)^5}{(4x-3)^6} \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int \frac{5}{2-5x} \, \mathrm{d}x$

Accepted Answer

(a) $\frac56\ln|x|+C$. (b) $\frac14\ln|4x-3|+C$. (c) $-\frac25(4x-3)^{-5}+\frac14\ln|4x-3|+C$. (d) $-\ln|2-5x|+C$.

Integration - Integration of Power Functions

Integration - Integration of Power Functions

Video Solution:

Solution:

Solution locked