What is the integral from 1 to 5 of (3x^2+5x) ?

The integral from 1 to 5 of (3x^2+5x) is 184

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integral from 1 to 5 of (3x^2+5x)

\int_{1}^{5} (3 x^{2} + 5 x) d x

184

Solution steps

\int_{1}^{5} 3 x^{2} + 5 x 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} 3 x^{2} d x + \int_{1}^{5} 5 x d x

\int_{1}^{5} 3 x^{2} d x = 124

\int_{1}^{5} 5 x d x = 60

= 124 + 60

Simplify

= 184

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What is the integral from 1 to 5 of (3x^2+5x) ?
The integral from 1 to 5 of (3x^2+5x) is 184