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Popular Calculus >

integral from 5 to 10 of (3x+3)

Solution

\int_{5}^{10} (3 x + 3) d x

Solution

\frac{255}{2}

+1

Decimal

127.5

Solution steps

\int_{5}^{10} 3 x + 3 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_{5}^{10} 3 x d x + \int_{5}^{10} 3 d x

\int_{5}^{10} 3 x d x = \frac{225}{2}

\int_{5}^{10} 3 d x = 15

= \frac{225}{2} + 15

Simplify

\frac{225}{2} + 15 : \frac{255}{2}

= \frac{255}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 5 to 10 of (3x+3) ?
The integral from 5 to 10 of (3x+3) is 255/2