Integrate the following expressions with respect to $x$. $\sqrt{(5-4x)^3}$ \(\frac{2}{(4x-1)^6}\

Question

Integrate the following expressions with respect to $x$. $\sqrt{(5-4x)^3}$ $\frac{2}{(4x-1)^6}$ $\frac{5}{2(3x-4)^5}$ $(x+\sqrt{x^3})(x-\sqrt{x^3})$

Accepted Answer

(a) $-\frac1{10}(5-4x)^{5/2}+C$. (b) $-\frac{1}{10(4x-1)^5}+C$. (c) $-\frac{5}{24(3x-4)^4}+C$. (d) $\frac{x^3}{3}-\frac{x^4}{4}+C$.

Integration - Integration of Power Functions