What is the integral of e^x+sin(y) ?

The integral of e^x+sin(y) is sin(y)x+e^x+C

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integral of e^x+sin(y)

\int e^{x} + sin (y) d x

sin (y) x + e^{x} + C

Solution steps

\int e^{x} + sin (y) 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 sin (y) d x + \int e^{x} d x

\int sin (y) d x = sin (y) x

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

= sin (y) x + e^{x}

Add a constant to the solution

= sin (y) x + e^{x} + C

x \to 0 lim ((1 + b x)^{\frac{1}{x}})

\int t^{2} + \frac{2 t - 1}{t ^{2} - 2 t + 1} d t

x \to - 1 lim (\frac{1}{1 + x ^{2}})

arcsin (9 x + 1)

\int \frac{1}{x ^{\frac{4}{5}}} d x

What is the integral of e^x+sin(y) ?
The integral of e^x+sin(y) is sin(y)x+e^x+C