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Popular >

integral from 1 to 5 of-1/5 x+1

Solution

\int_{1}^{5} - \frac{1}{5} x + 1 d x

Solution

\frac{8}{5}

+1

Decimal

1.6

Solution steps

\int_{1}^{5} - \frac{1}{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}^{5} \frac{1}{5} x d x + \int_{1}^{5} 1 d x

\int_{1}^{5} \frac{1}{5} x d x = \frac{12}{5}

\int_{1}^{5} 1 d x = 4

= - \frac{12}{5} + 4

Simplify

- \frac{12}{5} + 4 : \frac{8}{5}

= \frac{8}{5}

Graph

Popular Examples

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\int_{0}^{3} \frac{1}{16 + x ^{2}} d x

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\int_{- 2}^{2} t^{2} d t

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

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

integral from 1 to 2 of (v^5+4v^7)/(v^4)

\int_{1}^{2} \frac{v ^{5} + 4 v ^{7}}{v ^{4}} d v

integral from-pi/2 to pi/2 of 3sin(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} 3 sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of-1/5 x+1 ?
The integral from 1 to 5 of-1/5 x+1 is 8/5