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Popular >

integral of 3u^2

Solution

\int 3 u^{2} d u

Solution

u^{3} + C

Solution steps

\int 3 u^{2} d u

Take the constant out:

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

= 3 \cdot \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= 3 \cdot \frac{u ^{3}}{3}

Simplify

3 \cdot \frac{u ^{3}}{3} : u^{3}

= u^{3}

Add a constant to the solution

= u^{3} + C

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\int (cos (x) \cdot sin (x)) d x

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\int \frac{x ^{2}}{( 1 + x ^{3} ) ^{1.2}} d x

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\int \frac{2}{e ^{2 x} + 2 e ^{x} + 15} d x

integral of 1/(sqrt(x-9))

\int \frac{1}{x - 9} d x

integral of 1/5-4/x

\int \frac{1}{5} - \frac{4}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 3u^2 ?
The integral of 3u^2 is u^3+C