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Popular Calculus >

integral from 0 to 3 of 4-x

Solution

\int_{0}^{3} 4 - x d x

Solution

\frac{15}{2}

+1

Decimal

7.5

Solution steps

\int_{0}^{3} 4 - 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} 4 d x - \int_{0}^{3} x d x

\int_{0}^{3} 4 d x = 12

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

= 12 - \frac{9}{2}

Simplify

12 - \frac{9}{2} : \frac{15}{2}

= \frac{15}{2}

Graph

Popular Examples

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derivative of (x+1)/(2x^2+1)

(\partial)/(\partial x)(arcsec(x+yz))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 4-x ?
The integral from 0 to 3 of 4-x is 15/2