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Popular Calculus >

integral of 4/(3x^2)

Solution

\int \frac{4}{3 x ^{2}} d x

Solution

- \frac{4}{3 x} + C

Solution steps

\int \frac{4}{3 x ^{2}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{4}{3} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

= \frac{4}{3} (- \frac{1}{x})

Simplify

\frac{4}{3} (- \frac{1}{x}) : - \frac{4}{3 x}

= - \frac{4}{3 x}

Add a constant to the solution

= - \frac{4}{3 x} + C

Graph

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\int e^{x} + 4 sin (x) d x

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\int \frac{1}{tan ^{3} ( x )} d x

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\int \frac{x ^{2}}{( x - 2 ) ( 4 - x )} d x

Frequently Asked Questions (FAQ)

What is the integral of 4/(3x^2) ?
The integral of 4/(3x^2) is -4/(3x)+C