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Popular >

integral of (x^2-5)

Solution

\int (x^{2} - 5) d x

Solution

\frac{x ^{3}}{3} - 5 x + C

Solution steps

\int x^{2} - 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{3}}{3} - 5 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 5 x + C

Popular Examples

derivative of (sin(x)(tan(x)))

\frac{d}{d x} ((sin (x)) (tan (x)))

integral from-infinity to 12 of re^{r/4}

\int_{- \infty}^{12} r e^{\frac{r}{4}} d r

y^{^{''}} + 10 y = 0

integral of (17x^7)/(315)

\int \frac{17 x ^{7}}{315} d x

integral of (cos(x))/3

\int \frac{cos ( x )}{3} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^2-5) ?
The integral of (x^2-5) is (x^3)/3-5x+C