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Popular >

integral from 2 to 5 of (x-1)

Solution

\int_{2}^{5} (x - 1) d x

Solution

\frac{15}{2}

+1

Decimal

7.5

Solution steps

\int_{2}^{5} 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_{2}^{5} x d x - \int_{2}^{5} 1 d x

\int_{2}^{5} x d x = \frac{21}{2}

\int_{2}^{5} 1 d x = 3

= \frac{21}{2} - 3

Simplify

\frac{21}{2} - 3 : \frac{15}{2}

= \frac{15}{2}

Graph

Popular Examples

integral from 1 to e^6 of (10ln(x))/x

\int_{1}^{e^{6}} \frac{10 ln ( x )}{x} d x

integral from 0 to 16 of \sqrt[4]{x}

\int_{0}^{16} 4 x d x

integral from 1 to 3 of (z^2+4)/z

\int_{1}^{3} \frac{z ^{2} + 4}{z} d z

integral from 1 to 3 of (3x^2-8x+1)

\int_{1}^{3} (3 x^{2} - 8 x + 1) d x

integral from 0 to 1 of 5\sqrt[5]{x}

\int_{0}^{1} 5 5 x d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of (x-1) ?
The integral from 2 to 5 of (x-1) is 15/2