Integrate the following expressions with respect to $x$: $5x^3-2x+7$ \(3\sqrt{x}+\frac{4}{x^2}-\

Question

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

Accepted Answer

(a) $\dfrac54x^4-x^2+7x+C$ (b) $2x^{\frac32}-\dfrac4x-2\sqrt{x}+C$ (c) $\dfrac12x^4-\dfrac32x^2+2\sqrt{x}+C$ (d) $-\dfrac3{2(2x+1)^3}+C$

Integration - Integration of Power Functions

Integration - Integration of Power Functions

Solution:

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