SME
Calculus I · Problem type
The steps of a u-substitution
Use this for “Evaluate ∫ from 0 to 2 of x(x² + 1)² dx.”
Put in order
Put the steps for ∫ from 0 to 2 of x(x² + 1)² dx in order.
1
?
2
?
3
?
4
?
5
?
Assumptions
•
Substitution undoes the chain rule: the integrand holds an inside part u and its derivative du, up to a constant.
•
Change the limits to values of u, so there is no need to go back to x.
•
For an integral without limits, put x back in at the end and add the constant C.
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.