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Popular >

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

Solution

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

Solution

2

Solution steps

\int_{0}^{1} 3 - 3 x^{2} 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}^{1} 3 d x - \int_{0}^{1} 3 x^{2} d x

\int_{0}^{1} 3 d x = 3

\int_{0}^{1} 3 x^{2} d x = 1

= 3 - 1

Simplify

= 2

Popular Examples

integral from 1 to 4 of 3x^2-2x

\int_{1}^{4} 3 x^{2} - 2 x d x

integral from-3 to 4 of 5

\int_{- 3}^{4} 5 d x

integral from-pi/4 to (3pi)/4 of sin(x)

\int_{- \frac{π}{4}}^{\frac{3 π}{4}} sin (x) d x

integral from 0 to 4 of 5x+sqrt(x)

\int_{0}^{4} 5 x + x d x

integral from 0 to 10 of e^{-x}

\int_{0}^{10} e^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (3-3x^2) ?
The integral from 0 to 1 of (3-3x^2) is 2