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Popular >

integral of x^2-25

Solution

\int x^{2} - 25 d x

Solution

\frac{x ^{3}}{3} - 25 x + C

Solution steps

\int x^{2} - 25 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 25 d x

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

\int 25 d x = 25 x

= \frac{x ^{3}}{3} - 25 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 25 x + C

Graph

Popular Examples

derivative of sin^2(2x+1)

\frac{d}{d x} (sin^{2} (2 x + 1))

derivative of (2x-1^2)

\frac{d}{d x} ((2 x - 1)^{2})

xy^'-y= 4/3 xln(x)

x y^{^{'}} - y = \frac{4}{3} x ln (x)

integral of (x^2-x+36)/(x^3+6x)

\int \frac{x ^{2} - x + 36}{x ^{3} + 6 x} d x

(\partial)/(\partial x)(10x(x^2+y^2)^{1/2})

\frac{\partial}{\partial x} (10 x (x^{2} + y^{2})^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the integral of x^2-25 ?
The integral of x^2-25 is (x^3)/3-25x+C