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Popular >

integral from 1 to 2 of (5x-1)

Solution

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

Solution

\frac{13}{2}

+1

Solution steps

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

\int_{1}^{2} 5 x d x = \frac{15}{2}

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

= \frac{15}{2} - 1

Simplify

\frac{15}{2} - 1 : \frac{13}{2}

= \frac{13}{2}

Popular Examples

integral from-1 to 1 of x^2x^3

\int_{- 1}^{1} x^{2} x^{3} d x

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

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

integral from-1 to 1 of (1+x^2)/(1+x^4)

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

integral from 1 to 2 of (sqrt(4-x^2))/x

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

integral from 0 to 4 of (1+sqrt(x))

\int_{0}^{4} (1 + x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (5x-1) ?
The integral from 1 to 2 of (5x-1) is 13/2