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Popular >

integral from 0 to 3 of (x+3)

Solution

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

Solution

\frac{27}{2}

+1

Decimal

13.5

Solution steps

\int_{0}^{3} 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_{0}^{3} x d x + \int_{0}^{3} 3 d x

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

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

= \frac{9}{2} + 9

Simplify

\frac{9}{2} + 9 : \frac{27}{2}

= \frac{27}{2}

Graph

Popular Examples

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

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

integral from 0 to 2pi of xsin(nx)

\int_{0}^{2 π} x sin (n x) d x

integral from 0 to 1 of 3x+cos(3x-3)

\int_{0}^{1} 3 x + cos (3 x - 3) d x

integral from 0 to pi/2 of x^2

\int_{0}^{\frac{π}{2}} x^{2} d x

integral from 4 to 6 of (x^2+2x-7)

\int_{4}^{6} (x^{2} + 2 x - 7) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x+3) ?
The integral from 0 to 3 of (x+3) is 27/2