What is the integral of (4cos(x)+3sin(x)) ?

The integral of (4cos(x)+3sin(x)) is 4sin(x)-3cos(x)+C

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integral of (4cos(x)+3sin(x))

\int (4 cos (x) + 3 sin (x)) d x

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

Solution steps

\int 4 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 4 cos (x) d x + \int 3 sin (x) d x

\int 4 cos (x) d x = 4 sin (x)

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

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

Add a constant to the solution

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

x, \frac{1}{x}, [1, 8]

y = \frac{1}{tan ( e ^{4 x} )}

\int_{1}^{2} \int_{y}^{y^{3}} 2 e^{\frac{x}{y}} d x d y

n = 1 \sum \infty \frac{ln ( n )}{4 n}

\frac{t}{π}

What is the integral of (4cos(x)+3sin(x)) ?
The integral of (4cos(x)+3sin(x)) is 4sin(x)-3cos(x)+C