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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of s
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Integral of cos(ln(x))
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Integral of 2e^(2x)
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Integral of tan5x
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Identical expressions
- dx/(3sinx+4cosx+ five)
- dx divide by (3 sinus of x plus 4 co sinus of e of x plus 5)
- dx divide by (3 sinus of x plus 4 co sinus of e of x plus five)
- dx/3sinx+4cosx+5
- dx divide by (3sinx+4cosx+5)
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Similar expressions
- dx/(3sinx-4cosx+5)
- dx/(3sinx+4cosx-5)
Integral of dx/(3sinx+4cosx+5) dx
The solution
You have entered
[src]
1 / | | 1 | 1*----------------------- dx | 3*sin(x) + 4*cos(x) + 5 | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{3 \sin{\left(x \right)} + 4 \cos{\left(x \right)} + 5}\, dx$$
Integral(1/(3*sin(x) + 4*cos(x) + 5), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 2 | 1*----------------------- dx = C - ---------- | 3*sin(x) + 4*cos(x) + 5 /x\ | 3 + tan|-| / \2/
$$-{{2}\over{{{\sin x}\over{\cos x+1}}+3}}$$
The graph
The answer
[src]
2 2 - - ------------ 3 3 + tan(1/2)
$$-{{2\,\cos 1}\over{\sin 1+3\,\cos 1+3}}-{{2}\over{\sin 1+3\,\cos 1+
3}}+{{2}\over{3}}$$
=
=
2 2 - - ------------ 3 3 + tan(1/2)
$$\frac{2}{3} - \frac{2}{\tan{\left(\frac{1}{2} \right)} + 3}$$
The graph
Use the examples entering the upper and lower limits of integration.