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Popular >

integral from 0 to 3 of 2x-1

Solution

\int_{0}^{3} 2 x - 1 d x

Solution

6

Solution steps

\int_{0}^{3} 2 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} 2 x d x - \int_{0}^{3} 1 d x

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

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

= 9 - 3

Simplify

= 6

Popular Examples

integral of 3/2 x^{1/2}

\int \frac{3}{2} x^{\frac{1}{2}} d x

integral of (sin(ln(4x^2)))/x

\int \frac{sin ( ln ( 4 x ^{2} ) )}{x} d x

limit as x approaches 1 of-2sqrt(1-x)+2

x \to 1 lim (- 2 1 - x + 2)

derivative of sin(x^2+2x)

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

limit as x approaches 0 of cos(x)ln(x)

x \to 0 lim (cos (x) ln (x))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 2x-1 ?
The integral from 0 to 3 of 2x-1 is 6