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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

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

= 9 - 27 + 27

Simplify

= 9

Popular Examples

integral from 0 to 5 of (3x+2)/(x^2+9)

\int_{0}^{5} \frac{3 x + 2}{x ^{2} + 9} d x

integral from 3 to 4 of f(5^x)5^x

\int_{3}^{4} f (5^{x}) 5^{x} d x

integral from 2 to 4 of x(x^2-4)^2

\int_{2}^{4} x (x^{2} - 4)^{2} d x

integral from 0 to 1 of xsin(nx)

\int_{0}^{1} x sin (n x) d x

integral from 0 to 20 of x^2-16x+70

\int_{0}^{20} x^{2} - 16 x + 70 d x

Frequently Asked Questions (FAQ)

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