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Popular >

integral from 0 to 3 of (5x-4)

Solution

\int_{0}^{3} (5 x - 4) d x

Solution

\frac{21}{2}

+1

Decimal Notation

10.5

Solution steps

\int_{0}^{3} 5 x - 4 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} 5 x d x - \int_{0}^{3} 4 d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

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

= \frac{45}{2} - 12

Simplify

\frac{45}{2} - 12 : \frac{21}{2}

= \frac{21}{2}

Popular Examples

integral from 0 to 1 of sqrt(3t+1)

\int_{0}^{1} 3 t + 1 d t

integral from 1 to 7 of 2piy(7-y)

\int_{1}^{7} 2 π y (7 - y) d y

integral from 0 to pi/2 of e^{-6x}cos(x)

\int_{0}^{\frac{π}{2}} e^{- 6 x} cos (x) d x

integral from 0 to t of cos(2x-t)

\int_{0}^{t} cos (2 x - t) d x

integral from 1 to 27 of sqrt(1+x^2)

\int_{1}^{27} 1 + x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (5x-4) ?
The integral from 0 to 3 of (5x-4) is 21/2