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Popular >

integral from 1 to 7 of-1/7 x+1

Solution

\int_{1}^{7} - \frac{1}{7} x + 1 d x

Solution

\frac{18}{7}

+1

Decimal

2.57142 \dots

Solution steps

\int_{1}^{7} - \frac{1}{7} 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}^{7} \frac{1}{7} x d x + \int_{1}^{7} 1 d x

\int_{1}^{7} \frac{1}{7} x d x = \frac{24}{7}

\int_{1}^{7} 1 d x = 6

= - \frac{24}{7} + 6

Simplify

- \frac{24}{7} + 6 : \frac{18}{7}

= \frac{18}{7}

Graph

Popular Examples

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\int_{3}^{4} (x^{2} + x - 12) d x

integral from 1 to 2 of sqrt(x+6)

\int_{1}^{2} x + 6 d x

integral from-2 to 4 of 4

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

integral from 0 to 2 of 4xe^{-2x}

\int_{0}^{2} 4 x e^{- 2 x} d x

integral from 0 to 1 of (5/(7+7x^2))

\int_{0}^{1} (\frac{5}{7 + 7 x ^{2}}) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 7 of-1/7 x+1 ?
The integral from 1 to 7 of-1/7 x+1 is 18/7