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Popular Calculus >

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

Graph

Popular Examples

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

derivative of (2x^2+8x+8)/(sqrt(x))

(\partial)/(\partial x)((xy)^{(1/2)})

Frequently Asked Questions (FAQ)

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