Integral of (2*sqrt(x)-sqrt(2x)+5) dx
The solution
Detail solution
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Integrate term-by-term:
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Integrate term-by-term:
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The integral of a constant times a function is the constant times the integral of the function:
∫2xdx=2∫xdx
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The integral of xn is n+1xn+1 when n=−1:
∫xdx=32x23
So, the result is: 34x23
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The integral of a constant times a function is the constant times the integral of the function:
∫(−2x)dx=−∫2xdx
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Don't know the steps in finding this integral.
But the integral is
322x23
So, the result is: −322x23
The result is: −322x23+34x23
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The integral of a constant is the constant times the variable of integration:
∫5dx=5x
The result is: −322x23+34x23+5x
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Add the constant of integration:
−322x23+34x23+5x+constant
The answer is:
−322x23+34x23+5x+constant
The answer (Indefinite)
[src]
/
| 3/2 ___ 3/2
| / ___ _____ \ 4*x 2*\/ 2 *x
| \2*\/ x - \/ 2*x + 5/ dx = C + 5*x + ------ - ------------
| 3 3
/
∫((2x−2x)+5)dx=C−322x23+34x23+5x
The graph
___
19 2*\/ 2
-- - -------
3 3
319−322
=
___
19 2*\/ 2
-- - -------
3 3
319−322
Use the examples entering the upper and lower limits of integration.