Integral of cos(x+y) dx
The solution
Detail solution
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Let u=x+y.
Then let du=dx and substitute du:
∫cos(u)du
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The integral of cosine is sine:
∫cos(u)du=sin(u)
Now substitute u back in:
sin(x+y)
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Add the constant of integration:
sin(x+y)+constant
The answer is:
sin(x+y)+constant
The answer (Indefinite)
[src]
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| cos(x + y) dx = C + sin(x + y)
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∫cos(x+y)dx=C+sin(x+y)
−sin(y)+sin(y+1)
=
−sin(y)+sin(y+1)
Use the examples entering the upper and lower limits of integration.