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Popular >

integral of x^2-3x+8

Solution

\int x^{2} - 3 x + 8 d x

Solution

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 8 x + C

Solution steps

\int x^{2} - 3 x + 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 3 x d x + \int 8 d x

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

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

\int 8 d x = 8 x

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 8 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 8 x + C

Popular Examples

slope ofintercept (-7,-6),(10,8)slope intercept

(- 7, - 6), (10, 8)

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(3 x - 10)^{\frac{4}{3}}

(\partial)/(\partial x)(1+x^4+y^4)

\frac{\partial}{\partial x} (1 + x^{4} + y^{4})

y^'=-y^3,y(0)=-2

y^{^{'}} = - y^{3}, y (0) = - 2

(\partial)/(\partial y)(y^2+2xy)

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

Frequently Asked Questions (FAQ)

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