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Popular >

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

Solution

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

Solution

\frac{64}{3}

+1

Solution steps

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

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 3 d x = 12

= \frac{28}{3} + 12

Simplify

\frac{28}{3} + 12 : \frac{64}{3}

= \frac{64}{3}

Popular Examples

integral from 0 to 4 of (y-2)^2

\int_{0}^{4} (y - 2)^{2} d y

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

\int_{2}^{4} \frac{1}{x ^{2} - 3} d x

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

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

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

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

integral from 0 to 1 of e^{-(x^2)}

\int_{0}^{1} e^{- (x^{2})} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^2+3) ?
The integral from-1 to 3 of (x^2+3) is 64/3