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Popular >

integral from 0 to 3 of (x-1)

Solution

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

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

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

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

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

= \frac{9}{2} - 3

Simplify

\frac{9}{2} - 3 : \frac{3}{2}

= \frac{3}{2}

Popular Examples

integral of (3x^2-7x+4)

\int (3 x^{2} - 7 x + 4) d x

integral of (3x^39x^2-15)/(x^24x^4)

\int \frac{3 x ^{3} 9 x ^{2} - 15}{x ^{2} 4 x ^{4}} d x

derivative of arcsin(3x+y)

\frac{d}{d x} (arcsin (3 x + y))

derivative of ln(5x+3)

\frac{d}{d x} (ln (5 x + 3))

integral of 4e^{-x}(e^{-3x}+1)

\int 4 e^{- x} (e^{- 3 x} + 1) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x-1) ?
The integral from 0 to 3 of (x-1) is 3/2