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Popular >

integral from 1 to 4 of x-1

Solution

\int_{1}^{4} x - 1 d x

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

\int_{1}^{4} 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_{1}^{4} x d x - \int_{1}^{4} 1 d x

\int_{1}^{4} x d x = \frac{15}{2}

\int_{1}^{4} 1 d x = 3

= \frac{15}{2} - 3

Simplify

\frac{15}{2} - 3 : \frac{9}{2}

= \frac{9}{2}

Popular Examples

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\frac{d}{d x} ((7)^{10 x + 1})

derivative of 10xe^{-5x}

\frac{d}{d x} (10 x e^{- 5 x})

integral from 0 to pi/8 of cos^4(x)

\int_{0}^{\frac{π}{8}} cos^{4} (x) d x

derivative of x^2*x^{-1}

\frac{d}{d x} (x^{2} \cdot x^{- 1})

integral of (2x+1)/(x^2+2x+37)

\int \frac{2 x + 1}{x ^{2} + 2 x + 37} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x-1 ?
The integral from 1 to 4 of x-1 is 9/2