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Popular >

integral from 0 to 2 of 4t-3t^2

Solution

\int_{0}^{2} 4 t - 3 t^{2} d t

Solution

0

Solution steps

\int_{0}^{2} 4 t - 3 t^{2} 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} 4 t d t - \int_{0}^{2} 3 t^{2} d t

\int_{0}^{2} 4 t d t = 8

\int_{0}^{2} 3 t^{2} d t = 8

= 8 - 8

Simplify

= 0

Graph

Popular Examples

integral from 0 to 2-x of 2-x-y

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

integral from 0 to 2 of 4x(x^2+1)^3

\int_{0}^{2} 4 x (x^{2} + 1)^{3} d x

integral from 1 to 2 of e^{x-1}-e

\int_{1}^{2} e^{x - 1} - e d x

integral from-1 to 3 of sqrt(3-x)

\int_{- 1}^{3} 3 - x d x

integral from 0 to 1 of y*3(1-y)^2

\int_{0}^{1} y \cdot 3 (1 - y)^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 4t-3t^2 ?
The integral from 0 to 2 of 4t-3t^2 is 0