Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of ctg(x)
- Integral of (cosx)/x
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Integral of 6*x
- Integral of sqrt(x^2+y^2)
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Identical expressions
- (cosx)/x
- ( co sinus of e of x) divide by x
- cosx/x
- (cosx) divide by x
- (cosx)/xdx
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Similar expressions
- (1-cos(x))/x^2
- (sqrt(x)cos(x))/(x+100)
- ((sqrtx)cosx)/(x+10)
- cos(x)/x^2
- (sqrt(x)*cos(x))/(x+100)
Integral of (cosx)/x dx
The solution
You have entered
[src]
1 / | | cos(x) | ------ dx | x | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{x}\, dx$$
Detail solution
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Add the constant of integration:
CiRule(a=1, b=0, context=cos(x)/x, symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | | cos(x) | ------ dx = C + Ci(x) | x | /
$$-{{\Gamma\left(0 , i\,x\right)+\Gamma\left(0 , -i\,x\right)}\over{2
}}$$
The answer
[src]
-EulerGamma + Ci(1)
$${\it \%a}$$
=
=
-EulerGamma + Ci(1)
$$- \gamma + \operatorname{Ci}{\left(1 \right)}$$
Use the examples entering the upper and lower limits of integration.