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Popular >

integral of x^2-8

Solution

\int x^{2} - 8 d x

Solution

\frac{x ^{3}}{3} - 8 x + C

Solution steps

\int x^{2} - 8 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 8 d x

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

\int 8 d x = 8 x

= \frac{x ^{3}}{3} - 8 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 8 x + C

Popular Examples

(\partial)/(\partial x)(-xy^2)

\frac{\partial}{\partial x} (- x y^{2})

integral of (15000(x-50))/(x^4)

\int \frac{15000 ( x - 50 )}{x ^{4}} d x

integral of (5x^2-12x)e^{2x}

\int (5 x^{2} - 12 x) e^{2 x} d x

integral of (x-2)/(2x^4+x^3+3x^2)

\int \frac{x - 2}{2 x ^{4} + x ^{3} + 3 x ^{2}} d x

integral of 1/(x^2+x+2)

\int \frac{1}{x ^{2} + x + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2-8 ?
The integral of x^2-8 is (x^3)/3-8x+C