Common Misconceptions

## Integrals

- Clear your misconceptions before they turn into mistakes
1
Error: Error in changing the variable while substitution
Question type: Evaluate
What to do: While solving such problems, if you are substituting some function (say u) in place of x, always remember that dx also has to be replaced in terms of the function u.
2
Error: Error in identifying the u function while applying integration by parts
Question Type: Evaluate
What to do: While solving problems of the type u.v using integration by parts. Use the Mnemonic ILATE to remember the sequence of functions to be taken as u.
3
Error: Error in identifying correct standard formula
Question Type: Evaluate
What to do: While solving such problems, it is very important to remember standard formulas like inverse trigonometric functions and use the correct formula in order to solve the problem.
Inverse Trigonometric Functions and Standard Integrals
(1)
(2) (3) (4)