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sin^4xcos^6x
Solving integrals/ sin^4xcos^6x

Integral of sin^4xcos^6x dx

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  1                   
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 |     4       6      
 |  sin (x)*cos (x) dx
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$$\int\limits_{0}^{1} \sin^{4}{\left(x \right)} \cos^{6}{\left(x \right)}\, dx$$ 
Integral(sin(x)^4*cos(x)^6, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
            7                9                3                5                            
 3    11*cos (1)*sin(1)   cos (1)*sin(1)   cos (1)*sin(1)   cos (1)*sin(1)   3*cos(1)*sin(1)
--- - ----------------- + -------------- + -------------- + -------------- + ---------------
256           80                10              128              160               256
$$- \frac{11 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{80} + \frac{\sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{160} + \frac{\sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{10} + \frac{\sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{128} + \frac{3 \sin{\left(1 \right)} \cos{\left(1 \right)}}{256} + \frac{3}{256}$$ 
=
= 
            7                9                3                5                            
 3    11*cos (1)*sin(1)   cos (1)*sin(1)   cos (1)*sin(1)   cos (1)*sin(1)   3*cos(1)*sin(1)
--- - ----------------- + -------------- + -------------- + -------------- + ---------------
256           80                10              128              160               256
$$- \frac{11 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{80} + \frac{\sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{160} + \frac{\sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{10} + \frac{\sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{128} + \frac{3 \sin{\left(1 \right)} \cos{\left(1 \right)}}{256} + \frac{3}{256}$$ 
3/256 - 11*cos(1)^7*sin(1)/80 + cos(1)^9*sin(1)/10 + cos(1)^3*sin(1)/128 + cos(1)^5*sin(1)/160 + 3*cos(1)*sin(1)/256
Numerical answer [src] 
0.0171006789396639
0.0171006789396639
The graph
Integral of sin^4xcos^6x dx

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

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