Question

With the substitution u = x¹⁴, what does the indefinite integral become?

Answer 1

The substitution u = x¹⁴ simplifies the integration process by changing the integral to be in terms of u rather than x.

Step-by-step explanation:

With the substitution u = x¹⁴, the indefinite integral becomes an expression involving u instead of x. To perform the integral, one would have to substitute all occurrences of x, and terms including x, with the equivalent expressions in terms of u.

After this substitution, the integral will be in terms of u, and integration can proceed normally. The result can later be re-substituted with x to find the original function.