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Popular Calculus >

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

Solution

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

Solution

4

Solution steps

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

\int_{- 1}^{1} 3 d x = 6

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

= 6 - 2

Simplify

= 4

Graph

Popular Examples

integral from 0 to pi/3 of sin^2(3x)

\int_{0}^{\frac{π}{3}} sin^{2} (3 x) d x

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

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

integral from 0 to e^w of sqrt(1+e^w)

\int_{0}^{e^{w}} 1 + e^{w} d w

integral from 1 to 2 of (z^2+4)/z

\int_{1}^{2} \frac{z ^{2} + 4}{z} d z

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (3-3x^2) ?
The integral from-1 to 1 of (3-3x^2) is 4