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Popular >

integral from 0 to 3 of 3x-1

Solution

\int_{0}^{3} 3 x - 1 d x

Solution

\frac{21}{2}

+1

Decimal Notation

10.5

Solution steps

\int_{0}^{3} 3 x - 1 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} 3 x d x - \int_{0}^{3} 1 d x

\int_{0}^{3} 3 x d x = \frac{27}{2}

\int_{0}^{3} 1 d x = 3

= \frac{27}{2} - 3

Simplify

\frac{27}{2} - 3 : \frac{21}{2}

= \frac{21}{2}

Popular Examples

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integral of (x+2)/(sqrt(4x-x^2))

\int \frac{x + 2}{4 x - x ^{2}} d x

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

integral of ((x^2)-3x^2)/(x^1)

\int \frac{( x ^{2} ) - 3 x ^{2}}{x ^{1}} d x

derivative of f(1)=(x^3+2x+8)^3 derivative of

f (1) = (x^{3} + 2 x + 8)^{3}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3x-1 ?
The integral from 0 to 3 of 3x-1 is 21/2