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Popular >

integral of (-3x^2)

Solution

\int (- 3 x^{2}) d x

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

Graph

Popular Examples

integral of sqrt(3x+8)

\int 3 x + 8 d x

integral of 1/(x(1+x^5))

\int \frac{1}{x ( 1 + x ^{5} )} d x

integral of (4\sqrt[3]{x})

\int (4 3 x) d x

integral of (3-5x)sqrt(x)

\int (3 - 5 x) x d x

integral of (1+tan(x))^2*sec(x)

\int (1 + tan (x))^{2} \cdot sec (x) d x

Frequently Asked Questions (FAQ)

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