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Popular Calculus >

integral of sqrt(y^2)

Solution

\int y^{2} d y

Solution

\frac{y ^{2}}{2} + C

Solution steps

\int y^{2} d y

y^{2} = (y),

assuming

y \geq 0

= \int y d y

Apply the Power Rule

= \frac{y ^{2}}{2}

Add a constant to the solution

= \frac{y ^{2}}{2} + C

Graph

Popular Examples

integral of cot^2(6x^2)x

\int cot^{2} (6 x^{2}) x d x

integral of 1/(sqrt(e^{2x))}

\int \frac{1}{e ^{2 x}} d x

integral of (2x^3+x)/(\sqrt[3]{x^4+x^2+3)}

\int \frac{2 x ^{3} + x}{3 x ^{4} + x ^{2} + 3} d x

integral of-15t^{2/3}

\int - 15 t^{\frac{2}{3}} d t

integral of (e^{kx})/k

\int \frac{e ^{k x}}{k} d x

Frequently Asked Questions (FAQ)

What is the integral of sqrt(y^2) ?
The integral of sqrt(y^2) is (y^2)/2+C