Question

Integrate:-

Answer 1

\[\huge \int\limits_{}^{}(x+1)dy\]
If y= 6x^2

Answer 2

Solve for dy

Answer 3

how to do it ,

Answer 4

dy = d(6x^2)

Answer 5

What is the derivative of 6x^2 ?

Answer 6

12x

Answer 7

Do not forget to write dx too as I have not mentioned "with respect to "

Answer 8

See:

\[\large{\cfrac{d}{dx}(6x^2) = 12x}\]

\[\large{\implies d(6x^2) = 12x dx}\]

Answer 9

yes

Answer 10

Thus,

\[\large{dy = 12x\ dx}\]

Answer 11

So your integral would become ?