May June 15 Paper 32

WORKED SOLUTION

3) A curve has equation y = cos x cos 2x. Find the x-coordinate of the stationary point on the curve in the interval 0 < x < (pi/2), giving your answer correct to 3 significant figures.

Integration By Parts

Following example has been taken from CIE Alevel Past Year Paper( s16_qp_32)

There are 2 important steps for solving by parts.

1) Realizing that the integral contains a product or quotient of two different functions
2) Substituting it into the formula for by parts.

I am sharing my method for solving this question.
Follow these steps because every question has the same solving pattern.

NOTE:

1) There are some questions which require by parts to applied twice so realize whenever two different functions are multiplied or divide together it means the question will be solved through by parts.

2) Knowledge of type of functions is required.
- Algebraic
- Trigonometric
- Logarithmic
- Exponential

THIS MAKES UP THE WORD L.A.T.E. Please notice the order of the word because that is what the most important thing,