What is the integral of 3e^x+5cos(x) ?

The integral of 3e^x+5cos(x) is 3e^x+5sin(x)+C

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integral of 3e^x+5cos(x)

\int 3 e^{x} + 5 cos (x) d x

3 e^{x} + 5 sin (x) + C

Solution steps

\int 3 e^{x} + 5 cos (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 3 e^{x} d x + \int 5 cos (x) d x

\int 3 e^{x} d x = 3 e^{x}

\int 5 cos (x) d x = 5 sin (x)

= 3 e^{x} + 5 sin (x)

Add a constant to the solution

= 3 e^{x} + 5 sin (x) + C

\frac{\partial}{\partial y} (x z + e^{- x^{2} + y})

k = 4 \sum \infty \frac{1}{( k + 3 ) ^{4}}

\int \frac{1}{4 x ^{2} + 4 x + 2} d x

e^{- t} cos (4 t) + \frac{t}{5}

x \to 2 lim (sin (x - 2))

What is the integral of 3e^x+5cos(x) ?
The integral of 3e^x+5cos(x) is 3e^x+5sin(x)+C