Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^3-3x^2
- Integral of dx/(3cosx-4sinx+5)
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Integral of sqrt(6x-x^2)
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Integral of 5x³
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Identical expressions
- dx/(3cosx-4sinx+ five)
- dx divide by (3 co sinus of e of x minus 4 sinus of x plus 5)
- dx divide by (3 co sinus of e of x minus 4 sinus of x plus five)
- dx/3cosx-4sinx+5
- dx divide by (3cosx-4sinx+5)
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Similar expressions
- dx/(3cosx-4sinx-5)
- dx/(3cosx+4sinx+5)
Integral of dx/(3cosx-4sinx+5) dx
The solution
You have entered
[src]
p - 2 / | | 1 | 1*----------------------- dx | 3*cos(x) - 4*sin(x) + 5 | / -p --- 2
$$\int\limits_{- \frac{p}{2}}^{\frac{p}{2}} 1 \cdot \frac{1}{- 4 \sin{\left(x \right)} + 3 \cos{\left(x \right)} + 5}\, dx$$
Integral(1/(3*cos(x) - 4*sin(x) + 5), (x, -p/2, p/2))
The answer (Indefinite)
[src]
/ | | 1 1 | 1*----------------------- dx = C - ----------- | 3*cos(x) - 4*sin(x) + 5 /x\ | -2 + tan|-| / \2/
$$-{{2}\over{{{2\,\sin x}\over{\cos x+1}}-4}}$$
The answer
[src]
1 1
----------- - -----------
/p\ /p\
-2 - tan|-| -2 + tan|-|
\4/ \4/
$$- \frac{1}{\tan{\left(\frac{p}{4} \right)} - 2} + \frac{1}{- \tan{\left(\frac{p}{4} \right)} - 2}$$
=
=
1 1
----------- - -----------
/p\ /p\
-2 - tan|-| -2 + tan|-|
\4/ \4/
$$- \frac{1}{\tan{\left(\frac{p}{4} \right)} - 2} + \frac{1}{- \tan{\left(\frac{p}{4} \right)} - 2}$$
Use the examples entering the upper and lower limits of integration.