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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/(√(4-x^2))
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Integral of x^2inx
- Integral of y^2e^xy^2+6x
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Integral of dx/(5+4cos2x)
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Identical expressions
- dx/(five +4cos2x)
- dx divide by (5 plus 4 co sinus of e of 2x)
- dx divide by (five plus 4 co sinus of e of 2x)
- dx/5+4cos2x
- dx divide by (5+4cos2x)
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Similar expressions
- dx/(5-4cos2x)
Integral of dx/(5+4cos2x) dx
The solution
You have entered
[src]
1 / | | 1 | 1*-------------- dx | 5 + 4*cos(2*x) | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{4 \cos{\left(2 x \right)} + 5}\, dx$$
Integral(1/(5 + 4*cos(2*x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ pi\
|x - --|
/ /tan(x)\ | 2 |
| atan|------| pi*floor|------|
| 1 \ 3 / \ pi /
| 1*-------------- dx = C + ------------ + ----------------
| 5 + 4*cos(2*x) 3 3
|
/
$${{\arctan \left({{\sin \left(2\,x\right)}\over{3\,\left(\cos \left(
2\,x\right)+1\right)}}\right)}\over{3}}$$
The graph
The answer
[src]
/tan(1)\
atan|------|
\ 3 /
------------
3
$${{\arctan \left({{\sin 2}\over{3\,\cos 2+3}}\right)}\over{3}}$$
=
=
/tan(1)\
atan|------|
\ 3 /
------------
3
$$\frac{\operatorname{atan}{\left(\frac{\tan{\left(1 \right)}}{3} \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.