The first integration technique is to try and rewrite the integral as a “standard integral”
lesson notes:01 integration using substitution
The first integration technique is to try and rewrite the integral as a “standard integral”
lesson notes:01 integration using substitution
At about the 16:30 mark, where we have x = 1-u^2, and then when we make u the subject so that u = (1-x)^1/2, how come we’re only going with the positive case and not the negative case? Or does it not matter which one we go with?
Because the original integral was +ve square root, so in reality you are making the substitution u= sqrt(1-x), but for ease of substitution wechange it to x = 1 – u^2
Oh okay I understand now, thank you!