Mister Exam
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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^3*e^(x^4)
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Integral of (x^2+1)e^-x
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Integral of (x-x^2)
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Integral of x/(x^2+4)^(1/2)
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Identical expressions
- cosx/(four +sin^2x)
- co sinus of e of x divide by (4 plus sinus of squared x)
- co sinus of e of x divide by (four plus sinus of squared x)
- cosx/(4+sin2x)
- cosx/4+sin2x
- cosx/(4+sin²x)
- cosx/(4+sin to the power of 2x)
- cosx/4+sin^2x
- cosx divide by (4+sin^2x)
- cosx/(4+sin^2x)dx
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Similar expressions
- cosx/(4-sin^2x)
Integral of cosx/(4+sin^2x) dx
The solution
You have entered
[src]
1 / | | cos(x) | ----------- dx | 2 | 4 + sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 4}\, dx$$
Integral(cos(x)/(4 + sin(x)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ /sin(x)\ | atan|------| | cos(x) \ 2 / | ----------- dx = C + ------------ | 2 2 | 4 + sin (x) | /
$$\int \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 4}\, dx = C + \frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2} \right)}}{2}$$
The graph
The answer
[src]
/sin(1)\
atan|------|
\ 2 /
------------
2
$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(1 \right)}}{2} \right)}}{2}$$
=
=
/sin(1)\
atan|------|
\ 2 /
------------
2
$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(1 \right)}}{2} \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.