What is the integral of 0.024(0.03x^2-2x)+130 ?

The integral of 0.024(0.03x^2-2x)+130 is 0.024(0.01x^3-x^2)+130x+C

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integral of 0.024(0.03x^2-2x)+130

\int 0.024 (0.03 x^{2} - 2 x) + 130 d x

0.024 (0.01 x^{3} - x^{2}) + 130 x + C

Solution steps

\int 0.024 (0.03 x^{2} - 2 x) + 130 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 0.024 (0.03 x^{2} - 2 x) d x + \int 130 d x

\int 0.024 (0.03 x^{2} - 2 x) d x = 0.024 (0.01 x^{3} - x^{2})

\int 130 d x = 130 x

= 0.024 (0.01 x^{3} - x^{2}) + 130 x

Add a constant to the solution

= 0.024 (0.01 x^{3} - x^{2}) + 130 x + C

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What is the integral of 0.024(0.03x^2-2x)+130 ?
The integral of 0.024(0.03x^2-2x)+130 is 0.024(0.01x^3-x^2)+130x+C