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Popular >

integral from 0 to 2 of (2x-3)

Solution

\int_{0}^{2} (2 x - 3) d x

Solution

- 2

Solution steps

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

\int_{0}^{2} 2 x d x = 4

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

= 4 - 6

Simplify

= - 2

Popular Examples

integral from 2 to 4 of 5^{5x}

\int_{2}^{4} 5^{5 x} d x

integral from 0 to 35/36 of sqrt(1+36x)

\int_{0}^{\frac{35}{36}} 1 + 36 x d x

integral from 0 to pi of sin(7x+pi)

\int_{0}^{π} sin (7 x + π) d x

integral from 0 to 4 of 1/((x-2)^{2/3)}

\int_{0}^{4} \frac{1}{( x - 2 ) ^{\frac{2}{3}}} d x

integral from pi/4 to pi of cot(x)

\int_{\frac{π}{4}}^{π} cot (x) d x

Frequently Asked Questions (FAQ)

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