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Popular >

integral of-x^2-4

Solution

\int - x^{2} - 4 d x

Solution

- \frac{x ^{3}}{3} - 4 x + C

Solution steps

\int - x^{2} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int x^{2} d x - \int 4 d x

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

\int 4 d x = 4 x

= - \frac{x ^{3}}{3} - 4 x

Add a constant to the solution

= - \frac{x ^{3}}{3} - 4 x + C

Popular Examples

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integral of 1/(x*ln(2x))

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(dy)/(dx)=(2x+xy^2)/(4y+yx^2)

\frac{d y}{d x} = \frac{2 x + x y ^{2}}{4 y + y x ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of-x^2-4 ?
The integral of-x^2-4 is -(x^3)/3-4x+C