What is the integral of y=(e^(13x)+sin x)/10

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If you mean that you required the integral of y = (e^(13x)+sin x)/10, the result is.

y = (e^(13x)+sin x)/10

Int [ y dx] = Int [ (e^(13x)+sin x)/10 dx]

=> (1/10)* Int [ (e^(13x)+sin x) dx]

=> (1/10)*[ Int [ e^(13x) dx] +Int [sin x dx] ]

=> (1/10)*[ e^(13x)/13 - cos x ] + C

The integral of (e^(13x)+sin x)/10 is (1/10)*[ e^(13x)/13 - cos x ] + C

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