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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x²+1)
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Integral of f(x)=4x
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Integral of x/sin^2(x)
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Integral of x/cosx^2
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Identical expressions
- one /(five + three *cos(x))
- 1 divide by (5 plus 3 multiply by co sinus of e of (x))
- one divide by (five plus three multiply by co sinus of e of (x))
- 1/(5+3cos(x))
- 1/5+3cosx
- 1 divide by (5+3*cos(x))
- 1/(5+3*cos(x))dx
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Similar expressions
- 1/(5+3*cos*x)
- 1/(5-3*cos(x))
- 1/(5+3cosx)
- 1/(5+3cos(x))
- (1)/(5+3*cos(x))
- 1/(5+3*cosx)
Integral of 1/(5+3*cos(x)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------------ dx | 5 + 3*cos(x) | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{3 \cos{\left(x \right)} + 5}\, dx$$
Integral(1/(5 + 3*cos(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ /x\\ /x pi\
|tan|-|| |- - --|
/ | \2/| |2 2 |
| atan|------| pi*floor|------|
| 1 \ 2 / \ pi /
| 1*------------ dx = C + ------------ + ----------------
| 5 + 3*cos(x) 2 2
|
/
$$\int 1 \cdot \frac{1}{3 \cos{\left(x \right)} + 5}\, dx = C + \frac{\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{2} \right)}}{2} + \frac{\pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor}{2}$$
The graph
The answer
[src]
/tan(1/2)\
atan|--------|
\ 2 /
--------------
2
$$\frac{\operatorname{atan}{\left(\frac{\tan{\left(\frac{1}{2} \right)}}{2} \right)}}{2}$$
=
=
/tan(1/2)\
atan|--------|
\ 2 /
--------------
2
$$\frac{\operatorname{atan}{\left(\frac{\tan{\left(\frac{1}{2} \right)}}{2} \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.