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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of √(x+4)
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Integral of sin³xcosx
- Integral of (x/(x+1))^x²
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Integral of x^4/(sqrt(1-x^5))^1/3
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Identical expressions
- (two ctgx+ one)/(2sinx+cosx)^2
- (2ctgx plus 1) divide by (2 sinus of x plus co sinus of e of x) squared
- (two ctgx plus one) divide by (2 sinus of x plus co sinus of e of x) squared
- (2ctgx+1)/(2sinx+cosx)2
- 2ctgx+1/2sinx+cosx2
- (2ctgx+1)/(2sinx+cosx)²
- (2ctgx+1)/(2sinx+cosx) to the power of 2
- 2ctgx+1/2sinx+cosx^2
- (2ctgx+1) divide by (2sinx+cosx)^2
- (2ctgx+1)/(2sinx+cosx)^2dx
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Similar expressions
- (2ctgx+1)/(2sinx-cosx)^2
- (2ctgx-1)/(2sinx+cosx)^2
Integral of (2ctgx+1)/(2sinx+cosx)^2 dx
The solution
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[src]
pi
--
4
/
|
| 2*cot(x) + 1
| -------------------- dx
| 2
| (2*sin(x) + cos(x))
|
/
/ ____\
|4*\/ 17 |
acos|--------|
\ 17 /
$$\int\limits_{\operatorname{acos}{\left(\frac{4 \sqrt{17}}{17} \right)}}^{\frac{\pi}{4}} \frac{2 \cot{\left(x \right)} + 1}{\left(2 \sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}}\, dx$$
Integral((2*cot(x) + 1)/(2*sin(x) + cos(x))^2, (x, acos(4*sqrt(17)/17), pi/4))
Use the examples entering the upper and lower limits of integration.