Question

integration
dx
_______
4cosx+3sinx​

Answer 1

Answer:

4sin(x) - 3 cos(x) + c

Step-by-step explanation:

$\int {4 cos(x) + 3sin(x)} \, dx$

= $\int {4cos(x)} \, dx$ + $\int{3sin(x)} \, dx$

= $4\int{cos(x)} \, dx$ + $3\int{sin(x)} \, dx$

= 4 sin(x) + c1 - 3 cos(x) + c2

= 4 sin(x) - 3 cos(x) + (c1+c2)

= 4sin(x) - 3 cos(x) + c