What is the integral of (3x)/pi ?

The integral of (3x)/pi is 3/pi*(x^2)/2+C

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integral of (3x)/pi

\int \frac{3 x}{π} d x

\frac{3}{π} \cdot \frac{x ^{2}}{2} + C

Solution steps

\int \frac{3 x}{π} d x

Take the constant out:

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

= \frac{3}{π} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{3}{π} \cdot \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{3}{π} \cdot \frac{x ^{2}}{2} + C

\frac{\partial}{\partial y} (e^{7 x})

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\int (x + 3) (x + 1) x (x - 2) d x

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