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Popular >

integral from 1 to 4 of x-2

Solution

\int_{1}^{4} x - 2 d x

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

\int_{1}^{4} x - 2 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} 2 d x

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

\int_{1}^{4} 2 d x = 6

= \frac{15}{2} - 6

Simplify

\frac{15}{2} - 6 : \frac{3}{2}

= \frac{3}{2}

Popular Examples

integral from 0 to 2pi of-2sin^2(x)

\int_{0}^{2 π} - 2 sin^{2} (x) d x

integral from 0 to infinity of e^{-u^2}

\int_{0}^{\infty} e^{- u^{2}} d u

integral from 0 to 4 of (6-x)^2

\int_{0}^{4} (6 - x)^{2} d x

integral from 0 to 2 of x^2e^{-x^2}

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

integral from 0 to 1 of a^xe^x

\int_{0}^{1} a^{x} e^{x} d x

Frequently Asked Questions (FAQ)

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