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Popular >

integral of-0.2t^2+3

Solution

\int - 0.2 t^{2} + 3 d t

Solution

- 0.06666 \dots t^{3} + 3 t + C

Solution steps

\int - 0.2 t^{2} + 3 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 0.2 t^{2} d t + \int 3 d t

\int 0.2 t^{2} d t = 0.06666 \dots t^{3}

\int 3 d t = 3 t

= - 0.06666 \dots t^{3} + 3 t

Add a constant to the solution

= - 0.06666 \dots t^{3} + 3 t + C

Graph

Popular Examples

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\int x sin (x y) d y

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\frac{d}{d x} (cos^{3} (4 x))

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x \to 2 lim (x^{3} + 2 x + 1)

slope of (3,-8),(-5,-7)slope

(3, - 8), (- 5, - 7)

Frequently Asked Questions (FAQ)

What is the integral of-0.2t^2+3 ?
The integral of-0.2t^2+3 is -0.06666…t^3+3t+C