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Popular >

integral from 1 to 4 of x^2-1

Solution

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

Solution

18

Solution steps

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

\int_{1}^{4} x^{2} d x = 21

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

= 21 - 3

Simplify

= 18

Graph

Popular Examples

integral from 1 to 4 of 1/(x^2+x-6)

\int_{1}^{4} \frac{1}{x ^{2} + x - 6} d x

integral from 0 to 1 of (2t-1)^3

\int_{0}^{1} (2 t - 1)^{3} d t

integral from-1 to 1 of (e^{-3x})

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

integral from-1 to 1 of (-60x^2)

\int_{- 1}^{1} (- 60 x^{2}) d x

integral from-pi to pi of (x*sin(x))/5

\int_{- π}^{π} \frac{x \cdot sin ( x )}{5} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2-1 ?
The integral from 1 to 4 of x^2-1 is 18