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Popular >

integral from 0 to 3 of x^2+6x+9

Solution

\int_{0}^{3} x^{2} + 6 x + 9 d x

Solution

63

Solution steps

\int_{0}^{3} x^{2} + 6 x + 9 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_{0}^{3} x^{2} d x + \int_{0}^{3} 6 x d x + \int_{0}^{3} 9 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} 9 d x = 27

= 9 + 27 + 27

Simplify

= 63

Graph

Popular Examples

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

\int \frac{( 2 x ^{2} + 6 )}{( x ^{2} - 2 x + 2 ) ^{2}} d x

slope ofintercept (8.7)(0.3)slope intercept

(8.7) (0.3)

integral of 2/(sqrt(25-100x^2))

\int \frac{2}{25 - 100 x ^{2}} d x

derivative of y=(arctan(2x))/x derivative of

y = \frac{arctan ( 2 x )}{x}

(\partial)/(\partial x)((x^2+y^2)/(z^2))

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2+6x+9 ?
The integral from 0 to 3 of x^2+6x+9 is 63