What is the integral from 4.6 to 7 of 12x^2-6x+4 ?

The integral from 4.6 to 7 of 12x^2-6x+4 is 908.73599…

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integral from 4.6 to 7 of 12x^2-6x+4

\int_{4.6}^{7} 12 x^{2} - 6 x + 4 d x

908.73599 \dots

Solution steps

\int_{4.6}^{7} 12 x^{2} - 6 x + 4 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_{4.6}^{7} 12 x^{2} d x - \int_{4.6}^{7} 6 x d x + \int_{4.6}^{7} 4 d x

\int_{4.6}^{7} 12 x^{2} d x = 982.65599 \dots

\int_{4.6}^{7} 6 x d x = 83.52

\int_{4.6}^{7} 4 d x = 9.6

= 982.65599 \dots - 83.52 + 9.6

Simplify

= 908.73599 \dots

\int_{0}^{b} 2 x d x

\int_{1}^{3} ln (2 x) - ln (x) d x

\int_{1}^{x^{2}} \frac{1}{t ^{2} + 1} d t

\int_{- 2}^{6} x + 3 d x

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

What is the integral from 4.6 to 7 of 12x^2-6x+4 ?
The integral from 4.6 to 7 of 12x^2-6x+4 is 908.73599…