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Popular >

integral from 0 to 3 of-x+2

Solution

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

Solution

\frac{3}{2}

+1

Solution steps

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

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

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

= - \frac{9}{2} + 6

Simplify

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

= \frac{3}{2}

Popular Examples

integral of 6x^5sqrt(3x^4+2)

\int 6 x^{5} 3 x^{4} + 2 d x

area y=9x,y=70-x^2 area

y = 9 x, y = 70 - x^{2}

integral of (5/(sqrt(x)))

\int (\frac{5}{x}) d x

(\partial)/(\partial y)(3x^2y-y^3+x-y)

\frac{\partial}{\partial y} (3 x^{2} y - y^{3} + x - y)

derivative of 1/27 (x^5+2x^3)

\frac{d}{d x} (\frac{1}{27} (x^{5} + 2 x^{3}))

Frequently Asked Questions (FAQ)

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