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Popular >

integral from 2 to 5 of (x^2-4)

Solution

\int_{2}^{5} (x^{2} - 4) d x

Solution

27

Solution steps

\int_{2}^{5} x^{2} - 4 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_{2}^{5} x^{2} d x - \int_{2}^{5} 4 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 4 d x = 12

= 39 - 12

Simplify

= 27

Graph

Popular Examples

integral from 1 to infinity of x^{-5}

\int_{1}^{\infty} x^{- 5} d x

integral from 3 to 4 of x/((x^2+5)^3)

\int_{3}^{4} \frac{x}{( x ^{2} + 5 ) ^{3}} d x

integral from 1 to 2 of (e^t+4t)

\int_{1}^{2} (e^{t} + 4 t) d t

integral from 0 to 1 of x^{15}+15^x

\int_{0}^{1} x^{15} + 1 5^{x} d x

integral from-1 to 1 of sqrt(1-t)

\int_{- 1}^{1} 1 - t d t

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of (x^2-4) ?
The integral from 2 to 5 of (x^2-4) is 27