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

The integral of e^x+xcos(y) is e^xy+xsin(y)+C

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integral of e^x+xcos(y)

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

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

Solution steps

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

Apply the Sum Rule:

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

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

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

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

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

Add a constant to the solution

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

n = 1 \sum \infty n^{3} \cdot e^{- n^{2}}

x \to 4 lim (5 x^{2} - 2 x)

\frac{4 + t}{t e ^{t}}

\int \frac{1}{t ^{3} t ^{2} - 1} d t

\int_{0}^{1} x 1 + 8 x^{2} d x

What is the integral of e^x+xcos(y) ?
The integral of e^x+xcos(y) is e^xy+xsin(y)+C