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

Question

Integrate the following expressions with respect to $x$. $3x^4+1$ $4\sqrt{x}-\frac{3}{\sqrt{x}}+1$ $\frac{3x^3-4x^2+\sqrt{x}}{\sqrt{x}}$ $\left(\frac{2}{(16x-1)^2}\right)^3$

Accepted Answer

(a) $\frac35x^5+x+C$. (b) $\frac83x^{3/2}-6x^{1/2}+x+C$. (c) $\frac67x^{7/2}-\frac85x^{5/2}+x+C$. (d) $-\frac{1}{10(16x-1)^5}+C$.

Integration - Integration of Power Functions

Integration - Integration of Power Functions

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