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Popular >

integral of x^2+5x-6

Solution

\int x^{2} + 5 x - 6 d x

Solution

\frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 6 x + C

Solution steps

\int x^{2} + 5 x - 6 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 x d x - \int 6 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 6 d x = 6 x

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 6 x

Add a constant to the solution

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 6 x + C

Popular Examples

derivative of 2*10^{-3}x^3+10x

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y^'+2/x y=-2xy^2

y^{^{'}} + \frac{2}{x} y = - 2 x y^{2}

tangent of 3x^2+7x-4 tangent of

3 x^{2} + 7 x - 4

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1 - 289 x^{2} arccos (17 x)

Frequently Asked Questions (FAQ)

What is the integral of x^2+5x-6 ?
The integral of x^2+5x-6 is (x^3)/3+(5x^2)/2-6x+C