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Popular >

integral from 0 to 3 of 3x-5

Solution

\int_{0}^{3} 3 x - 5 d x

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

\int_{0}^{3} 3 x - 5 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} 5 d x

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

\int_{0}^{3} 5 d x = 15

= \frac{27}{2} - 15

Simplify

\frac{27}{2} - 15 : - \frac{3}{2}

= - \frac{3}{2}

Popular Examples

derivative of (x^2+2^7)

\frac{d}{d x} ((x^{2} + 2)^{7})

d/(dt)(2arctan(t))

\frac{d}{d t} (2 arctan (t))

x^{^{'}} = x^{2} e^{- 2 t}

integral from 0 to 1 of (x-e^x)^2

\int_{0}^{1} (x - e^{x})^{2} d x

integral of 1/((t+1)^2)

\int \frac{1}{( t + 1 ) ^{2}} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3x-5 ?
The integral from 0 to 3 of 3x-5 is -3/2