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Popular >

integral from-1 to 3 of x^2-1

Solution

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

Solution

\frac{16}{3}

+1

Decimal Notation

5.33333 \dots

Solution steps

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

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

\int_{- 1}^{3} 1 d x = 4

= \frac{28}{3} - 4

Simplify

\frac{28}{3} - 4 : \frac{16}{3}

= \frac{16}{3}

Popular Examples

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

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

integral from 0 to 1 of t^7(1+t^8)^7

\int_{0}^{1} t^{7} (1 + t^{8})^{7} d t

integral from 1 to 3 of x^2+3x

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

integral from 0 to sin(x) of sqrt(t)

\int_{0}^{s i n (x)} t d t

integral from-pi/4 to pi/4 of (-cos(x))

\int_{- \frac{π}{4}}^{\frac{π}{4}} (- cos (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of x^2-1 ?
The integral from-1 to 3 of x^2-1 is 16/3