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Popular >

integral from 0 to 3 of 2-x

Solution

\int_{0}^{3} 2 - x d x

Solution

\frac{3}{2}

+1

Decimal

1.5

Solution steps

\int_{0}^{3} 2 - x 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_{0}^{3} 2 d x - \int_{0}^{3} x d x

\int_{0}^{3} 2 d x = 6

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

= 6 - \frac{9}{2}

Simplify

6 - \frac{9}{2} : \frac{3}{2}

= \frac{3}{2}

Graph

Popular Examples

integral from 0 to pi/3 of 1/(cos(x))

\int_{0}^{\frac{π}{3}} \frac{1}{cos ( x )} d x

integral from 0 to 5 of 2/(sqrt(9x+8))

\int_{0}^{5} \frac{2}{9 x + 8} d x

integral from-2pi to 5pi of cos^2(x)

\int_{- 2 π}^{5 π} cos^{2} (x) d x

integral from 0 to 3 of 3x^2-12x+9

\int_{0}^{3} 3 x^{2} - 12 x + 9 d x

integral from 1 to 10 of (ln(x))/x

\int_{1}^{10} \frac{ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 2-x ?
The integral from 0 to 3 of 2-x is 3/2