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- Integral of d{x}:
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Integral of csc^2
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Integral of cos^2x/sin^7x
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Identical expressions
- cos^2x/sin^7x
- co sinus of e of squared x divide by sinus of to the power of 7x
- cos2x/sin7x
- cos²x/sin⁷x
- cos to the power of 2x/sin to the power of 7x
- cos^2x divide by sin^7x
- cos^2x/sin^7xdx
Integral of cos^2x/sin^7x dx
The solution
You have entered
[src]
1 / | | 2 | cos (x) | ------- dx | 7 | sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}}\, dx$$
Integral(cos(x)^2/sin(x)^7, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 3 5 | cos (x) log(-1 + cos(x)) log(1 + cos(x)) - 8*cos (x) - 3*cos(x) + 3*cos (x) | ------- dx = C - ---------------- + --------------- - -------------------------------------------- | 7 32 32 4 6 2 | sin (x) -48 - 144*cos (x) + 48*cos (x) + 144*cos (x) | /
$$\int \frac{\cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}}\, dx = C - \frac{3 \cos^{5}{\left(x \right)} - 8 \cos^{3}{\left(x \right)} - 3 \cos{\left(x \right)}}{48 \cos^{6}{\left(x \right)} - 144 \cos^{4}{\left(x \right)} + 144 \cos^{2}{\left(x \right)} - 48} - \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{32} + \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{32}$$
The graph
The answer
[src]
pi*I
oo - ----
32
$$\infty - \frac{i \pi}{32}$$
=
=
pi*I
oo - ----
32
$$\infty - \frac{i \pi}{32}$$
oo - pi*i/32
The graph
Use the examples entering the upper and lower limits of integration.