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Popular >

integral of 3x^2

Solution

integral

3 x^{2}

Solution

x^{3} + C

Solution steps

\int 3 x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{3}}{3}

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

Simplify

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

= x^{3}

Add a constant to the solution

= x^{3} + C

Popular Examples

integral of (sqrt(1-x^2))/(x^3)

\int \frac{1 - x ^{2}}{x ^{3}} d x

integral of (-6x^3+9x^2+4x-3)

\int (- 6 x^{3} + 9 x^{2} + 4 x - 3) d x

integral of 2xex^2

\int 2 x e x^{2} d x

integral of xsqrt(3-2x)

\int x 3 - 2 x d x

integral of x(7-x)^9

\int x (7 - x)^{9} d x

Frequently Asked Questions (FAQ)

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