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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of x^2*ln(x)
- Integral of e^(x/y)
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Integral of e^(x/2)
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Integral of -3/x
- Graphing y =:
- cos^5(x)*sin(2x)
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Identical expressions
- cos^ five (x)*sin(2x)
- co sinus of e of to the power of 5(x) multiply by sinus of (2x)
- co sinus of e of to the power of five (x) multiply by sinus of (2x)
- cos5(x)*sin(2x)
- cos5x*sin2x
- cos⁵(x)*sin(2x)
- cos^5(x)sin(2x)
- cos5(x)sin(2x)
- cos5xsin2x
- cos^5xsin2x
- cos^5(x)*sin(2x)dx
Integral of cos^5(x)*sin(2x) dx
The solution
You have entered
[src]
pi -- 2 / | | 5 | cos (x)*sin(2*x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx$$
Integral(cos(x)^5*sin(2*x), (x, 0, pi/2))
The answer (Indefinite)
[src]
/ | 7 | 5 2*cos (x) | cos (x)*sin(2*x) dx = C - --------- | 7 /
$$\int \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx = C - \frac{2 \cos^{7}{\left(x \right)}}{7}$$
Use the examples entering the upper and lower limits of integration.