What is the integral of (2cos(x)+3sin(x)) ?

The integral of (2cos(x)+3sin(x)) is 2sin(x)-3cos(x)+C

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integral of (2cos(x)+3sin(x))

\int (2 cos (x) + 3 sin (x)) d x

2 sin (x) - 3 cos (x) + C

Solution steps

\int 2 cos (x) + 3 sin (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 cos (x) d x + \int 3 sin (x) d x

\int 2 cos (x) d x = 2 sin (x)

\int 3 sin (x) d x = - 3 cos (x)

= 2 sin (x) - 3 cos (x)

Add a constant to the solution

= 2 sin (x) - 3 cos (x) + C

\int_{3}^{3.5} \frac{x}{8} d x

x \to 2 lim (x^{3} - 3^{x})

r^{2}

y^{^{''}} - 4 y = 4 x e^{- 2 x}

\frac{d y}{d x} = 2 tan^{2} (x)

What is the integral of (2cos(x)+3sin(x)) ?
The integral of (2cos(x)+3sin(x)) is 2sin(x)-3cos(x)+C