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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(2+cos(x))
- Integral of √((1-x)/(1+x))
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Integral of cos(x)*exp(x)
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Integral of (3x-2)^2
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Identical expressions
- sinx/(three cosx- one)^3
- sinus of x divide by (3 co sinus of e of x minus 1) cubed
- sinus of x divide by (three co sinus of e of x minus one) cubed
- sinx/(3cosx-1)3
- sinx/3cosx-13
- sinx/(3cosx-1)³
- sinx/(3cosx-1) to the power of 3
- sinx/3cosx-1^3
- sinx divide by (3cosx-1)^3
- sinx/(3cosx-1)^3dx
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Similar expressions
- sinx/(3cosx+1)^3
Integral of sinx/(3cosx-1)^3 dx
The solution
You have entered
[src]
1 / | | sin(x) | --------------- dx | 3 | (3*cos(x) - 1) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\left(3 \cos{\left(x \right)} - 1\right)^{3}}\, dx$$
Integral(sin(x)/(3*cos(x) - 1)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | sin(x) 1 | --------------- dx = C + -------------------------- | 3 2 | (3*cos(x) - 1) 6 - 36*cos(x) + 54*cos (x) | /
$$\int \frac{\sin{\left(x \right)}}{\left(3 \cos{\left(x \right)} - 1\right)^{3}}\, dx = C + \frac{1}{54 \cos^{2}{\left(x \right)} - 36 \cos{\left(x \right)} + 6}$$
The answer
[src]
1 1
- -- + --------------------------
24 2
6 - 36*cos(1) + 54*cos (1)
$$- \frac{1}{24} + \frac{1}{- 36 \cos{\left(1 \right)} + 6 + 54 \cos^{2}{\left(1 \right)}}$$
=
=
1 1
- -- + --------------------------
24 2
6 - 36*cos(1) + 54*cos (1)
$$- \frac{1}{24} + \frac{1}{- 36 \cos{\left(1 \right)} + 6 + 54 \cos^{2}{\left(1 \right)}}$$
-1/24 + 1/(6 - 36*cos(1) + 54*cos(1)^2)
Use the examples entering the upper and lower limits of integration.