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Popular >

integral from 2 to 3 of x-2

Solution

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

Solution

\frac{1}{2}

+1

Solution steps

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

\int_{2}^{3} x d x = \frac{5}{2}

\int_{2}^{3} 2 d x = 2

= \frac{5}{2} - 2

Simplify

\frac{5}{2} - 2 : \frac{1}{2}

= \frac{1}{2}

Popular Examples

integral from 1 to 2 of sqrt(1+x^{-2)}

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

integral from 1 to infinity of (x^2+x+1)

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

integral from 0 to 1 of x/((x^2+3)^3)

\int_{0}^{1} \frac{x}{( x ^{2} + 3 ) ^{3}} d x

integral from 0 to sin(2x) of arcsin(t)

\int_{0}^{s i n (2 x)} arcsin (t) d t

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

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

Frequently Asked Questions (FAQ)

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