hello dear
try to expand (x+1)^2 and see what u can do
Hi have the following integral, i have expanded the numerator, and then thinking a change of variable on the denominator but doesnt seem to be working heres, the question:
Evaluate the following integral
(x+1)^2dx/x^2+1 Between the limits of 2 and 0.
Many thanks in advance.
That doesn't mean, though, that we should always blindly resort to substitution. If a method is present, and the OP is taught to ignore it, how will he expect to progress? If he doesn't understand my method, he doesn't have to use my method, but that doesn't mean that the method isn't important and should be completely ignored.
I am disinclined to agree. If he substitutes, I think it's highly unlikely that he will discover this rule. I think that it is similarly unlikely that he will then go on to remember this rule for the permanent future. I think that if he has been taught the derivation of this rule himself in class, then being able to apply it is sufficient - if he substitutes, his substitution will develop, but he will not attempt to spot such shortcuts in the future. However, this is irrelivent: I merely suggested a much faster and more efficient method, it's up to the OP whether or not he uses it depending upon his knowledge of integration.