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Popular >

integral from 0 to 3 of 4-x

Solution

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

Solution

\frac{15}{2}

+1

Decimal Notation

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}

Popular Examples

(dy)/(dx)=(xe^{2x})/(x+k)

\frac{d y}{d x} = \frac{x e ^{2 x}}{x + k}

y^{''}+2y^'+14y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 14 y = 0, y (0) = 1, y^{^{'}} (0) = 0

integral of x^2sqrt(3x+5)

\int x^{2} 3 x + 5 d x

f (x) = sin (3 x + 2)

integral from 1 to 5 of 2sqrt(x-1)

\int_{1}^{5} 2 x - 1 d x

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