Integral of (10x^4+3x^2+4) dx
The solution
Detail solution
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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:
∫10x4dx=10∫x4dx
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The integral of xn is n+1xn+1 when n=−1:
∫x4dx=5x5
So, the result is: 2x5
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The integral of a constant times a function is the constant times the integral of the function:
∫3x2dx=3∫x2dx
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The integral of xn is n+1xn+1 when n=−1:
∫x2dx=3x3
So, the result is: x3
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The integral of a constant is the constant times the variable of integration:
∫4dx=4x
The result is: 2x5+x3+4x
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Now simplify:
x(2x4+x2+4)
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Add the constant of integration:
x(2x4+x2+4)+constant
The answer is:
x(2x4+x2+4)+constant
The answer (Indefinite)
[src]
/
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| / 4 2 \ 3 5
| \10*x + 3*x + 4/ dx = C + x + 2*x + 4*x
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/
2x5+x3+4x
The graph
Use the examples entering the upper and lower limits of integration.