Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Trigonometric functions - Calculus - Reverse Chain Rule.
Test Yourself 1 - Solutions.


 

The questions on this page all require you:

1. to identify a term to differentiate; and

2. to use the results of that differentiation to substitute for both the other term and the dx term;

3. then determine the integral in terms of that substituted variable (say u);

4. then substitute back into the original function.

No logs here. 1. 2.
  3. 4.
  5. 6.
Incorporates logs. 7. 8.
  9. 10.
Miscellaneous. 11.

12. (i)

(ii)