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Popular Calculus >

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

Graph

Popular Examples

integral of x^7sin(x^4)

\int x^{7} sin (x^{4}) d x

derivative of sqrt(x)^{sqrt(x)}

\frac{d}{d x} (x^{x})

integral from 0 to 1 of x+2

\int_{0}^{1} x + 2 d x

y^{''}-y=0,y(0)=3

y^{^{''}} - y = 0, y (0) = 3

derivative of 2e^x+e^2x

d er i v a t i v e 2 e^{x} + e^{2} x

Frequently Asked Questions (FAQ)

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