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Popular >

area y=x^2,(0,1)

Solution

area

y = x^{2}, (0, 1)

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} ∣ x ∣^{2} d x

Solve

\int_{0}^{1} ∣ x ∣^{2} d x : \frac{1}{3}

The area is:

= \frac{1}{3}

Popular Examples

integral of (e^y+1)^2e^{-y}

\int (e^{y} + 1)^{2} e^{- y} d y

integral of (x^3)/(x^2+x-2)

\int \frac{x ^{3}}{x ^{2} + x - 2} d x

integral of (x^4)/(x^5-2)

\int \frac{x ^{4}}{x ^{5} - 2} d x

derivative of (e^{1/x}/(x^2))

\frac{d}{d x} (\frac{e ^{\frac{1}{x}}}{x ^{2}})

limit as x approaches infinity of 1-3/x

x \to \infty lim (1 - \frac{3}{x})

Frequently Asked Questions (FAQ)

What is area y=x^2,(0,1) ?
The answer to area y=x^2,(0,1) is 1/3