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Popular >

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

Solution

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

Solution

- \frac{1}{2}

+1

Solution steps

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

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

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

= 1 - \frac{3}{2}

Simplify

1 - \frac{3}{2} : - \frac{1}{2}

= - \frac{1}{2}

Popular Examples

integral from 1 to e of ((1+ln(x))^4)/x

\int_{1}^{e} \frac{( 1 + ln ( x ) ) ^{4}}{x} d x

integral from-1 to 1 of e^{3x}

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

integral from 0 to 1 of ln(1+y)

\int_{0}^{1} ln (1 + y) d y

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

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

integral from-2 to-1 of x^2

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

Frequently Asked Questions (FAQ)

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