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Popular >

integral from-3 to 2 of 9-x^2

Solution

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

Solution

\frac{100}{3}

+1

Solution steps

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

\int_{- 3}^{2} 9 d x = 45

\int_{- 3}^{2} x^{2} d x = \frac{35}{3}

= 45 - \frac{35}{3}

Simplify

45 - \frac{35}{3} : \frac{100}{3}

= \frac{100}{3}

Popular Examples

integral from 1 to 2 of x^3-x

\int_{1}^{2} x^{3} - x d x

integral from 4 to 6 of x/(4x^2+8)

\int_{4}^{6} \frac{x}{4 x ^{2} + 8} d x

integral from 0 to 0.75 of 2(-y+1)

\int_{0}^{0.75} 2 (- y + 1) d y

integral from 1 to x^3 of sin(x)

\int_{1}^{x^{3}} sin (x) d x

integral from 0 to t^{10 of}sqrt(u^7)

\int_{0}^{t^{10}} u^{7} d u

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of 9-x^2 ?
The integral from-3 to 2 of 9-x^2 is 100/3