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

Functions - Logarithms - Reverse Chain Rule.
Test Yourself 1.


 

Indefinite. 1. Find a primitive of . 2. Find a primitive of

  3. Find a primitive of . 4. Find the anti-derivative of

  5. Find the anti-derivative of

6. Find the primitive of

  7. Find a primitive of . 8. Find a primitive of .
  9. Find . 10. .
Definite 11. Prove . 12. Evaluate .

Hint.Let u = ln x.
  13.
Answer.4ln5.
14. The gradient of a curve is given by

The curve passes through the point (0, 2).

What is the equation of the curve?

Answer.y = ln(x2 + e) + 1.