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Popular >

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

Solution

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

Solution

3

Solution steps

\int_{0}^{3} 4 - 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}^{3} 4 d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 4 d x = 12

\int_{0}^{3} x^{2} d x = 9

= 12 - 9

Simplify

= 3

Popular Examples

limit as x approaches 3 of 4x+1

x \to 3 lim (4 x + 1)

derivative of f(x)=(3x)/(e^x)derivative of

f (x) = \frac{3 x}{e ^{x}}

tangent of f(x)=2e^x+x,(0,2)tangent of

f (x) = 2 e^{x} + x, (0, 2)

integral of (x+3)(x-1)^5

\int (x + 3) (x - 1)^{5} d x

(dx)/(dt)=4x(7-x)

\frac{d x}{d t} = 4 x (7 - x)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (4-x^2) ?
The integral from 0 to 3 of (4-x^2) is 3