What is (y^2dy)/(sqrt(y^2+4)) ?

The solution to (y^2dy)/(sqrt(y^2+4)) is (y^2dysqrt(y^2+4))/(y^2+4)

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simplify (y^2dy)/(sqrt(y^2+4))

simplify

\frac{y ^{2} d y}{y ^{2} + 4}

\frac{y ^{2} d y y ^{2} + 4}{y ^{2} + 4}

Solution steps

\frac{y ^{2} d y}{y ^{2} + 4}

Multiply by the conjugate

\frac{y ^{2} + 4}{y ^{2} + 4}

= \frac{y ^{2} d y y ^{2} + 4}{y ^{2} + 4 y ^{2} + 4}

y^{2} + 4 y^{2} + 4 = y^{2} + 4

= \frac{y ^{2} d y y ^{2} + 4}{y ^{2} + 4}

\frac{1}{cot ( x )}

4 x - x y + 8 - 2 y

27 p^{3} - 8 q^{3}

6 d^{3 n + 1} \cdot 4 d^{4 n}

cosh^{2} (x) - sinh^{2} (x)

What is (y^2dy)/(sqrt(y^2+4)) ?
The solution to (y^2dy)/(sqrt(y^2+4)) is (y^2dysqrt(y^2+4))/(y^2+4)