Integrate the following expressions with respect to $x$: $7x^6-3x^2+\frac{2}{x}-5$ \(2\sqrt[3]{x

Question

Integrate the following expressions with respect to $x$: $7x^6-3x^2+\frac{2}{x}-5$ $2\sqrt[3]{x}+5x^{-\frac{3}{2}}-4x^2$ $\frac{6x^5-3x^3+\sqrt{x}+1}{x^{\frac{3}{2}}}$ $\left(\frac{2}{(3x+4)^2}\right)^3+\frac{1}{\sqrt{2x+1}}$

Accepted Answer

(a) $x^7-x^3+2\ln|x|-5x+C$ (b) $\dfrac32x^{\frac43}-\dfrac{10}{\sqrt{x}}-\dfrac43x^3+C$ (c) $\dfrac43x^{\frac92}-\dfrac65x^{\frac52}+\ln x-\dfrac2{\sqrt{x}}+C$ (d) $-\dfrac8{15(3x+4)^5}+\sqrt{2x+1}+C$

Integration - Integration of Power Functions

Integration - Integration of Power Functions

Solution:

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