Evaluate this definite integral:
n
∫ x^{2}*(1+x^{4})^{1} dx
1/n
where n is a real number greater than 1.
If you substitute u = 1/x
The limits become n to 1/n
The integrand becomes (1+x^4)^1
So the original integral is identical to what you get if you delete the x^2 term
∫ 1/n to n: (x^2)(1 + x^4)^(1) dx
= ∫ 1/n to n: (1 + x^4)^(1) dx

Posted by Larry
on 20230407 08:43:46 