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Popular >

integral from-2 to 2 of (12-3x^2)

Solution

\int_{- 2}^{2} (12 - 3 x^{2}) d x

Solution

32

Solution steps

\int_{- 2}^{2} 12 - 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_{- 2}^{2} 12 d x - \int_{- 2}^{2} 3 x^{2} d x

\int_{- 2}^{2} 12 d x = 48

\int_{- 2}^{2} 3 x^{2} d x = 16

= 48 - 16

Simplify

= 32

Popular Examples

derivative of 3tan(4x)

\frac{d}{d x} (3 tan (4 x))

derivative of (d/(dx(ln(cos(x))))^2)

\frac{d}{d x} ((\frac{d}{d x} (ln (cos (x))))^{2})

integral of (x-39)/(x^2-x-12)

\int \frac{x - 39}{x ^{2} - x - 12} d x

integral from 0 to 1 of (4t^3)/(1+t^4)

\int_{0}^{1} \frac{4 t ^{3}}{1 + t ^{4}} d t

y^{''}+9y=0,y(0)=-6,y^'(0)=-9

y^{^{''}} + 9 y = 0, y (0) = - 6, y^{^{'}} (0) = - 9

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (12-3x^2) ?
The integral from-2 to 2 of (12-3x^2) is 32