Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^2*exp(x^3)
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Integral of 1/(2x-1)
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Integral of x(x^2+1)^3
- Integral of e^(1/x)
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Identical expressions
- (five -4sinx+3cosx)^- one
- (5 minus 4 sinus of x plus 3 co sinus of e of x) to the power of minus 1
- (five minus 4 sinus of x plus 3 co sinus of e of x) to the power of minus one
- (5-4sinx+3cosx)-1
- 5-4sinx+3cosx-1
- 5-4sinx+3cosx^-1
- (5-4sinx+3cosx)^-1dx
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Similar expressions
- (5+4sinx+3cosx)^-1
- (5-4sinx+3cosx)^+1
- (5-4sinx-3cosx)^-1
Integral of (5-4sinx+3cosx)^-1 dx
The solution
You have entered
[src]
1 / | | 1 | ----------------------- dx | 5 - 4*sin(x) + 3*cos(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{- 4 \sin{\left(x \right)} + 3 \cos{\left(x \right)} + 5}\, dx$$
Integral(1/(5 - 4*sin(x) + 3*cos(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 1 | ----------------------- dx = C - ----------- | 5 - 4*sin(x) + 3*cos(x) /x\ | -2 + tan|-| / \2/
$$-{{2}\over{{{2\,\sin x}\over{\cos x+1}}-4}}$$
The graph
The answer
[src]
1 1 - - - ------------- 2 -2 + tan(1/2)
$$-{{\cos 1}\over{\sin 1-2\,\cos 1-2}}-{{1}\over{\sin 1-2\,\cos 1-2}}
-{{1}\over{2}}$$
=
=
1 1 - - - ------------- 2 -2 + tan(1/2)
$$- \frac{1}{2} - \frac{1}{-2 + \tan{\left(\frac{1}{2} \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.