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sin^3(x)×cos^5(x)

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  • Integral of d{x}:
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  • Integral of e^(5*x) Integral of e^(5*x)

  • Identical expressions

  • sin^ three (x)×cos^ five (x)
  • sinus of cubed (x)× co sinus of e of to the power of 5(x)
  • sinus of to the power of three (x)× co sinus of e of to the power of five (x)
  • sin3(x)×cos5(x)
  • sin3x×cos5x
  • sin³(x)×cos⁵(x)
  • sin to the power of 3(x)×cos to the power of 5(x)
  • sin^3x×cos^5x
  • sin^3(x)×cos^5(x)dx
Solving integrals/ sin^3(x)×cos^5(x)

Integral of sin^3(x)×cos^5(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
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 |     3       5      
 |  sin (x)*cos (x) dx
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0
$$\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos^{5}{\left(x \right)}\, dx$$ 
Integral(sin(x)^3*cos(x)^5, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
        6         8   
1    cos (1)   cos (1)
-- - ------- + -------
24      6         8
$$- \frac{\cos^{6}{\left(1 \right)}}{6} + \frac{\cos^{8}{\left(1 \right)}}{8} + \frac{1}{24}$$ 
=
= 
        6         8   
1    cos (1)   cos (1)
-- - ------- + -------
24      6         8
$$- \frac{\cos^{6}{\left(1 \right)}}{6} + \frac{\cos^{8}{\left(1 \right)}}{8} + \frac{1}{24}$$ 
1/24 - cos(1)^6/6 + cos(1)^8/8
Numerical answer [src] 
0.0384281112869579
0.0384281112869579
The graph
Integral of sin^3(x)×cos^5(x) dx

    Use the examples entering the upper and lower limits of integration.

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