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Popular Calculus >

integral from 1 to 6 of (7x+1)

Solution

\int_{1}^{6} (7 x + 1) d x

Solution

\frac{255}{2}

+1

Decimal

127.5

Solution steps

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

\int_{1}^{6} 7 x d x = \frac{245}{2}

\int_{1}^{6} 1 d x = 5

= \frac{245}{2} + 5

Simplify

\frac{245}{2} + 5 : \frac{255}{2}

= \frac{255}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of (7x+1) ?
The integral from 1 to 6 of (7x+1) is 255/2