Integral of (x+y) dx
The solution
Detail solution
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Integrate term-by-term:
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The integral of xn is n+1xn+1 when n=−1:
∫xdx=2x2
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The integral of a constant is the constant times the variable of integration:
∫ydx=xy
The result is: 2x2+xy
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Now simplify:
2x(x+2y)
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Add the constant of integration:
2x(x+2y)+constant
The answer is:
2x(x+2y)+constant
The answer (Indefinite)
[src]
/ 2
| x
| (x + y) dx = C + -- + x*y
| 2
/
∫(x+y)dx=C+2x2+xy
Use the examples entering the upper and lower limits of integration.