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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 (54)/(x^4)derivative of

\frac{54}{x ^{4}}

laplacetransform e^{-t+7}laplace transform

e^{- t + 7}

x^{''}+1/4 x^'+2x=0

x^{^{''}} + \frac{1}{4} x^{^{'}} + 2 x = 0

inverse oflaplace (-5s+0.02)/(s^2)inverse laplace

\frac{- 5 s + 0.02}{s ^{2}}

y^'-2*x*y=e^{x^2}

y^{^{'}} - 2 \cdot x \cdot y = e^{x^{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