Question

integration of ( 1/5+4cosx)dx

Answer 1

hello users......

we have to find the integration of (1/5 + 4cos x).dx

solution:-
as shown in attachment ...

as we know that
integration of cos x .dx is sin x +c


✡⭐ hope it helps ⭐✡

Answer 2

Given: ( 1/5+4cos x)

To find: integration of ( 1/5+4cos x)dx

Solution:

• To integrate the equation, we need to split this in two parts:

• Let the first part be 1/5 dx and second part be 4cos x dx

• So now lets integrate these terms:

               ∫(1/5 + 4cos x) dx

               = ∫1/5 dx + ∫4 cos x dx

• Integration of 1/5 is 1/5(x)

              = 1/5(x) + 4∫cos x dx           ...........(taking 4 as constant)

• Integration of cos x is sin x, we get:

              = x/5 + 4(sin x)    

• Now, adding a constant c in the final answer, we get:              

                 = x/5 + 4 sin x + c

Answer:

       = x/5 + 4 sin x + c