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Popular >

integral from-2 to 2 of 32-8y^2

Solution

\int_{- 2}^{2} 32 - 8 y^{2} d y

Solution

\frac{256}{3}

+1

Decimal

85.33333 \dots

Solution steps

\int_{- 2}^{2} 32 - 8 y^{2} d y

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} 32 d y - \int_{- 2}^{2} 8 y^{2} d y

\int_{- 2}^{2} 32 d y = 128

\int_{- 2}^{2} 8 y^{2} d y = \frac{128}{3}

= 128 - \frac{128}{3}

Simplify

128 - \frac{128}{3} : \frac{256}{3}

= \frac{256}{3}

Graph

Popular Examples

integral from 6 to 8 of (46)/((x-6)^3)

\int_{6}^{8} \frac{46}{( x - 6 ) ^{3}} d x

tangent of f(x)=(6x)/(x^2-3),(3,3)tangent of

f (x) = \frac{6 x}{x ^{2} - 3}, (3, 3)

(dy)/(dx)=-4y+x^3-x

\frac{d y}{d x} = - 4 y + x^{3} - x

y^{''}-3y^'-4y=3x^2+2

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 x^{2} + 2

integral of (a+bx^6)/(sqrt(7ax+bx^7))

\int \frac{a + b x ^{6}}{7 a x + b x ^{7}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 32-8y^2 ?
The integral from-2 to 2 of 32-8y^2 is 256/3