Question

integration of y dy​

Answer 1

Answer:

y^2/2

Step-by-step explanation:

hope u may understand

Answer 2

$\displaystyle \sf{ \int \: y \: dy }= \frac{ {y}^{2} }{2} + c$

Where c is integration constant

Given :

$\displaystyle \sf{ \int \: y \: dy }$

To find :

Integrate the integral

Solution :

Step 1 of 2 :

Write down the given Integral

Here the given Integral is

$\displaystyle \sf{ \int \: y \: dy }$

Step 2 of 2 :

Integrate the integral

We are aware of the formula that

$\boxed{ \: \: \displaystyle \sf{ \int \: {x}^{n} \: dx = \frac{ {x}^{n + 1} }{n + 1} + c } \: \: }$

Thus we get

$\displaystyle \sf{ \int \: y \: dy }$

$\displaystyle \sf{ }= \frac{ {y}^{1 + 1} }{1 + 1} + c$

$\displaystyle \sf{ }= \frac{ {y}^{2} }{2} + c$

Where c is integration constant

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