What is the integral from 1 to 2 of 3x^2+2x+k ?

The integral from 1 to 2 of 3x^2+2x+k is k+10

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integral from 1 to 2 of 3x^2+2x+k

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

k + 10

Solution steps

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

\int_{1}^{2} 3 x^{2} d x = 7

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

\int_{1}^{2} k d x = k

= 7 + 3 + k

Simplify

= k + 10

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\int_{0}^{1} \frac{1}{x - p} d x

\int_{0}^{3} \frac{2}{3 x - 2} d x

What is the integral from 1 to 2 of 3x^2+2x+k ?
The integral from 1 to 2 of 3x^2+2x+k is k+10