We do the integral of sinx/(sinx+cosx) from 0 to pi/2 using a special substitution y=x-pi/2.
Some rules sin(pi/2-theta)=cos(theta) and cos(pi/2-theta)=sin(theta)
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https://www.youtube.com/watch?v=OqWQbONWfJw
We solve an interesting differential equation in this video
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https://www.youtube.com/watch?v=PAoyjAyPkQk
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A viewer suggested question, solve a set of equations.
#math,#algebra,#calculus,#numbers,#integration,#differentiation,#derivative,#integral,math elite,mathelite,#maths,#mathematics
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https://www.youtube.com/watch?v=S8-6rfjv6lg
We get an interesting generalization at the end of this integral.
math,algebra,calculus,numbers,integration,differentiation,derivative,integral,math elite
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https://www.youtube.com/watch?v=DwE5z0eznc8
They are in the form dy/dx + p(x)y = q(x)
The DE we solve in this video: y' + (1/x)y = 1, using a special integration factor!
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https://www.youtube.com/watch?v=_BfQbtV2lT8