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Popular >

integral from 1 to 2 of (4-x^2)

Solution

\int_{1}^{2} (4 - x^{2}) d x

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

\int_{1}^{2} 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_{1}^{2} 4 d x - \int_{1}^{2} x^{2} d x

\int_{1}^{2} 4 d x = 4

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= 4 - \frac{7}{3}

Simplify

4 - \frac{7}{3} : \frac{5}{3}

= \frac{5}{3}

Popular Examples

integral from-1 to 2 of x-4|x|

\int_{- 1}^{2} x - 4 ∣ x ∣ d x

integral from 1/x to x^2 of sin(t)

\int_{\frac{1}{x}}^{x^{2}} sin (t) d t

integral from 2 to 4 of 4^{4x}

\int_{2}^{4} 4^{4 x} d x

integral from 0 to 2 of 2x+3

\int_{0}^{2} 2 x + 3 d x

integral from 0 to 0.5 of arcsin(x)

\int_{0}^{0.5} arcsin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (4-x^2) ?
The integral from 1 to 2 of (4-x^2) is 5/3