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Solving integrals/ sin^2x-cos^4x

Integral of sin^2x-cos^4x dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1                       
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 |  /   2         4   \   
 |  \sin (x) - cos (x)/ dx
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0
$$\int\limits_{0}^{1} \left(\sin^{2}{\left(x \right)} - \cos^{4}{\left(x \right)}\right)\, dx$$ 
Integral(sin(x)^2 - cos(x)^4, (x, 0, 1))
The answer [src] 
                         3          
1   7*cos(1)*sin(1)   cos (1)*sin(1)
- - --------------- - --------------
8          8                4
$$- \frac{7 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8} - \frac{\sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{4} + \frac{1}{8}$$ 
=
= 
                         3          
1   7*cos(1)*sin(1)   cos (1)*sin(1)
- - --------------- - --------------
8          8                4
$$- \frac{7 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8} - \frac{\sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{4} + \frac{1}{8}$$ 
1/8 - 7*cos(1)*sin(1)/8 - cos(1)^3*sin(1)/4

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

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