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Popular >

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

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

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

\int_{- 3}^{0} 3 x d x = - \frac{27}{2}

= 9 - \frac{27}{2}

Simplify

9 - \frac{27}{2} : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 0 to 3/8 of 1/(64x^2+9)

\int_{0}^{\frac{3}{8}} \frac{1}{64 x ^{2} + 9} d x

integral from-1 to 1 of (-x^2|x|)

\int_{- 1}^{1} (- x^{2} ∣ x ∣) d x

integral from 0 to 1 of x^2*e^x

\int_{0}^{1} x^{2} \cdot e^{x} d x

integral from 0 to pi/2 of-cos(x)

\int_{0}^{\frac{π}{2}} - cos (x) d x

integral from 0 to 4 of (x^3-x^2+1)

\int_{0}^{4} (x^{3} - x^{2} + 1) d x

Frequently Asked Questions (FAQ)

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