Introduction
This STEP support module introduces integration by substitution. Previous assignments can be found here, but you can do this one without having done the others first.
STEP questions are difficult, they are supposed to be and you should expect to get stuck. However, as you tackle more and more STEP questions you will develop a range of problem solving skills (and spend less time "being stuck").
About this assignment
The assignment is published as a pdf file below. Each STEP Support assignment module starts with a warm-up exercise, followed by preparatory work leading to a STEP question. Finally, there is a warm-down exercise.
The warm up for this assignment introduces integration by substitution and applies this to both indefinite and definite integrals.
The main STEP question (1994 STEP 1 Question 8) is also about integration by substitution.
The final question has even more integration questions for you to do.
This NRICH advanced problem solving module offers some hints for solving STEP integration and some more questions for you to try.
Hints, support and self evaluation
The “Hints and partial solutions for Assignment 25” file gives suggestions on how you can tackle the questions, and some common pitfalls to avoid, as well as some partial solutions and answers.
Here is a Worked Video Solution to the STEP question from this assignment.