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Popular >

integral of-7x^2

Solution

\int - 7 x^{2} d x

Solution

- \frac{7 x ^{3}}{3} + C

Solution steps

\int - 7 x^{2} d x

Take the constant out:

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

= - 7 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 7 \cdot \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{7 x ^{3}}{3}

Add a constant to the solution

= - \frac{7 x ^{3}}{3} + C

Popular Examples

integral of x^2cos(x)e^x

\int x^{2} cos (x) e^{x} d x

integral of sqrt(t+3)

\int t + 3 d t

integral of ((sqrt(x)+5)^4)/(2sqrt(x))

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integral of-25t^{2/3}

\int - 25 t^{\frac{2}{3}} d t

integral of 3x^2e^{7x^3}

\int 3 x^{2} e^{7 x^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of-7x^2 ?
The integral of-7x^2 is -(7x^3)/3+C