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Question B:Consider the integral of sin(x) * cos(x) dx. i) Do it using integration by parts;...

Question B:Consider the integral of sin(x) * cos(x) dx.

i) Do it using integration by parts; you might need the “break out of the loop” trick. I would do u=sin(x), dv=cos(x)dx

ii) Do it using u-substitution. I would do u=cos(x)

iii) Do it using the identity sin(x)*cos(x)=0.5*sin(2x)

iv) Explain how your results in parts i,ii,iii relate to each other.

Math   Calculus   
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