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How to use it?
- Integral of d{x}:
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Integral of x^2*e^(x*(-2))
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Integral of e^(-x^3)
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Integral of -exp(-3*x)
- Integral of (xcosx)/(2+3x^3)
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Identical expressions
- (- five *x^ three + forty *x^ two + fifteen *x+- fifty-nine)/[(x^ three - ten *x^ two +x- ten)*(x- ten)]
- ( minus 5 multiply by x cubed plus 40 multiply by x squared plus 15 multiply by x plus minus 59) divide by [(x cubed minus 10 multiply by x squared plus x minus 10) multiply by (x minus 10)]
- ( minus five multiply by x to the power of three plus forty multiply by x to the power of two plus fifteen multiply by x plus minus fifty minus nine) divide by [(x to the power of three minus ten multiply by x to the power of two plus x minus ten) multiply by (x minus ten)]
- (-5*x3+40*x2+15*x+-59)/[(x3-10*x2+x-10)*(x-10)]
- -5*x3+40*x2+15*x+-59/[x3-10*x2+x-10*x-10]
- (-5*x³+40*x²+15*x+-59)/[(x³-10*x²+x-10)*(x-10)]
- (-5*x to the power of 3+40*x to the power of 2+15*x+-59)/[(x to the power of 3-10*x to the power of 2+x-10)*(x-10)]
- (-5x^3+40x^2+15x+-59)/[(x^3-10x^2+x-10)(x-10)]
- (-5x3+40x2+15x+-59)/[(x3-10x2+x-10)(x-10)]
- -5x3+40x2+15x+-59/[x3-10x2+x-10x-10]
- -5x^3+40x^2+15x+-59/[x^3-10x^2+x-10x-10]
- (-5*x^3+40*x^2+15*x+-59) divide by [(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2+x-10)*(x-10)]dx
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Similar expressions
- (-5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2+x-10)*(x+10)]
- (-5*x^3-40*x^2+15*x+-59)/[(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2-15*x+-59)/[(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x--59)/[(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x++59)/[(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2-x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x+-59)/[(x^3+10*x^2+x-10)*(x-10)]
- (5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2+x-10)*(x-10)]
- (-5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2+x+10)*(x-10)]
Integral of (-5*x^3+40*x^2+15*x+-59)/[(x^3-10*x^2+x-10)*(x-10)] dx
The solution
You have entered
[src]
40 / | | 3 2 | - 5*x + 40*x + 15*x - 59 | ------------------------------ dx | / 3 2 \ | \x - 10*x + x - 10/*(x - 10) | / 20
$$\int\limits_{20}^{40} \frac{\left(15 x + \left(- 5 x^{3} + 40 x^{2}\right)\right) - 59}{\left(x - 10\right) \left(\left(x + \left(x^{3} - 10 x^{2}\right)\right) - 10\right)}\, dx$$
Integral((-5*x^3 + 40*x^2 + 15*x - 59)/(((x^3 - 10*x^2 + x - 10)*(x - 10))), (x, 20, 40))
The graph
The answer
[src]
-3/5 - atan(40) - 5*log(30) + 5*log(10) + atan(20)
$$- 5 \log{\left(30 \right)} - \operatorname{atan}{\left(40 \right)} - \frac{3}{5} + \operatorname{atan}{\left(20 \right)} + 5 \log{\left(10 \right)}$$
=
=
-3/5 - atan(40) - 5*log(30) + 5*log(10) + atan(20)
$$- 5 \log{\left(30 \right)} - \operatorname{atan}{\left(40 \right)} - \frac{3}{5} + \operatorname{atan}{\left(20 \right)} + 5 \log{\left(10 \right)}$$
-3/5 - atan(40) - 5*log(30) + 5*log(10) + atan(20)
Use the examples entering the upper and lower limits of integration.