What is the integral from 4 to 9 of 4x^2-15x+7 ?

The integral from 4 to 9 of 4x^2-15x+7 is 2605/6

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integral from 4 to 9 of 4x^2-15x+7

\int_{4}^{9} 4 x^{2} - 15 x + 7 d x

\frac{2605}{6}

Decimal Notation

434.16666 \dots

Solution steps

\int_{4}^{9} 4 x^{2} - 15 x + 7 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_{4}^{9} 4 x^{2} d x - \int_{4}^{9} 15 x d x + \int_{4}^{9} 7 d x

\int_{4}^{9} 4 x^{2} d x = \frac{2660}{3}

\int_{4}^{9} 15 x d x = \frac{975}{2}

\int_{4}^{9} 7 d x = 35

= \frac{2660}{3} - \frac{975}{2} + 35

Simplify

\frac{2660}{3} - \frac{975}{2} + 35 : \frac{2605}{6}

= \frac{2605}{6}

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What is the integral from 4 to 9 of 4x^2-15x+7 ?
The integral from 4 to 9 of 4x^2-15x+7 is 2605/6