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Popular >

integral from-3 to 0 of (x+3)

Solution

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

Solution

\frac{9}{2}

+1

Solution steps

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

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

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

= - \frac{9}{2} + 9

Simplify

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

= \frac{9}{2}

Popular Examples

integral from-7 to 2 of (-x^2-3x)

\int_{- 7}^{2} (- x^{2} - 3 x) d x

integral from-3 to 0 of sqrt(x+4)

\int_{- 3}^{0} x + 4 d x

integral from 0 to y of xe^{y^3}

\int_{0}^{y} x e^{y^{3}} d x

integral from 4 to 1 of x^2

\int_{4}^{1} x^{2} d x

integral from 0 to ln(2) of e^{-2y}

\int_{0}^{l n (2)} e^{- 2 y} d y

Frequently Asked Questions (FAQ)

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