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Popular Calculus >

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

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integral from 2 to 3 of (2x)/((x^2+1)^3)

\int_{2}^{3} \frac{2 x}{( x ^{2} + 1 ) ^{3}} d x

limit as h approaches 0 of-2x-h+8

h \to 0 lim (- 2 x - h + 8)

limit as x approaches 1 of (x+1)/(x^3-1)

x \to 1 lim (\frac{x + 1}{x ^{3} - 1})

sum from n=5 to infinity of 2/((n^2-1))

n = 5 \sum \infty \frac{2}{( n ^{2} - 1 )}

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