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Popular >

integral from 1 to 2 of x-3

Solution

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

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

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

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

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

= \frac{3}{2} - 3

Simplify

\frac{3}{2} - 3 : - \frac{3}{2}

= - \frac{3}{2}

Graph

Popular Examples

integral from 0 to 3/2 pi of 2/(9+x^2)

\int_{0}^{\frac{3}{2} π} \frac{2}{9 + x ^{2}} d x

integral from e to e^2 of 1/(xln^2(x))

\int_{e}^{e^{2}} \frac{1}{x ln ^{2} ( x )} d x

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

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

integral from 0 to 1 of (t^2)

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

integral from 1 to 6 of 6/x-x/6

\int_{1}^{6} \frac{6}{x} - \frac{x}{6} d x

Frequently Asked Questions (FAQ)

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