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Popular >

integral from 0 to 2 of 3x-1

Solution

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

Solution

4

Solution steps

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

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

\int_{0}^{2} 1 d x = 2

= 6 - 2

Simplify

= 4

Popular Examples

integral from 0 to 4 of 5x^2+3x+1

\int_{0}^{4} 5 x^{2} + 3 x + 1 d x

integral from 0 to 8 of (x^2-5)

\int_{0}^{8} (x^{2} - 5) d x

integral from pi/2 to pi of 0

\int_{\frac{π}{2}}^{π} 0 d x

integral from 0 to pi/3 of 2xcos(x)

\int_{0}^{\frac{π}{3}} 2 x cos (x) d x

integral from 1 to 9 of-x^2+10x-9

\int_{1}^{9} - x^{2} + 10 x - 9 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 3x-1 ?
The integral from 0 to 2 of 3x-1 is 4