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sin^6(x)cos^4(x)
Solving integrals/ sin^6(x)cos^4(x)

Integral of sin^6(x)cos^4(x) dx

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You have entered [src] 
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$$\int\limits_{0}^{1} \sin^{6}{\left(x \right)} \cos^{4}{\left(x \right)}\, dx$$ 
Integral(sin(x)^6*cos(x)^4, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
                           9                3                5                   7          
 3    3*cos(1)*sin(1)   sin (1)*cos(1)   sin (1)*cos(1)   sin (1)*cos(1)   11*sin (1)*cos(1)
--- - --------------- - -------------- - -------------- - -------------- + -----------------
256         256               10              128              160                 80
$$- \frac{\sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{10} - \frac{3 \sin{\left(1 \right)} \cos{\left(1 \right)}}{256} - \frac{\sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{128} - \frac{\sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{160} + \frac{3}{256} + \frac{11 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{80}$$ 
=
= 
                           9                3                5                   7          
 3    3*cos(1)*sin(1)   sin (1)*cos(1)   sin (1)*cos(1)   sin (1)*cos(1)   11*sin (1)*cos(1)
--- - --------------- - -------------- - -------------- - -------------- + -----------------
256         256               10              128              160                 80
$$- \frac{\sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{10} - \frac{3 \sin{\left(1 \right)} \cos{\left(1 \right)}}{256} - \frac{\sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{128} - \frac{\sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{160} + \frac{3}{256} + \frac{11 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{80}$$ 
3/256 - 3*cos(1)*sin(1)/256 - sin(1)^9*cos(1)/10 - sin(1)^3*cos(1)/128 - sin(1)^5*cos(1)/160 + 11*sin(1)^7*cos(1)/80
Numerical answer [src] 
0.0132155107176474
0.0132155107176474
The graph
Integral of sin^6(x)cos^4(x) dx

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

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