Integrate the following expressions with respect to $x$: $9x^4-4x+\dfrac{3}{x^2}+6$ \(5x^{\frac{

Question

Integrate the following expressions with respect to $x$: $9x^4-4x+\dfrac{3}{x^2}+6$ $5x^{\frac{5}{2}}-2x^{-\frac{3}{2}}+\dfrac{7}{x}$ $\frac{3x^6-2x^3+\sqrt{x}-x^{-2}}{x^2}$ $\left(\frac{5}{(4x-1)^2}\right)^3+\left(\frac{2}{\sqrt{1-3x}}\right)$

Accepted Answer

(a) $\dfrac95x^5-2x^2-\dfrac3x+6x+C$ (b) $\dfrac{10}7x^{\frac72}+\dfrac4{\sqrt{x}}+7\ln x+C$ (c) $\dfrac35x^5-x^2-\dfrac2{\sqrt{x}}+\dfrac1{3x^3}+C$ (d) $-\dfrac{25}{4(4x-1)^5}-\dfrac43\sqrt{1-3x}+C$

Integration - Integration of Power Functions

Integration - Integration of Power Functions

Solution:

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