SPECIALIST MATHS Calculus Week 5 Integral Calculus with

SPECIALIST MATHS Calculus Week 5 Integral Calculus with Trigonometric Functions

Revision of Integrals from Mathematical Studies • 1. • 2. • 3.

Example 10 (Ex 7 D 1&2)

Solution to Example 10

Anti Chain Rule • 1. • 2. • 3.

Example 11 (Ex 7 D 1&2)

Solution to Example 11(a)

Solution to Example 11(b)

Integrals of Trigonometric Functions

Anti Chain Rule

Example 12 (Ex 7 D 1&2) Integrate of the following function:

Solution to Example 12

Example 13 (Ex 7 D 1&2) Integrate of the following function:

Solution to Example 13

Example 14 (Ex 7 D 1&2)

Solution to Example 14

Example 15 (Ex 7 D 1&2)

Solution to Example 15

Example 16 (Ex 7 D 1&2) Integrate of the following function:

Solution to Example 16 Use the formula therefore From formula sheet

Example 17 (Ex 7 D 1&2) Integrate of the following function:

Solution to Example 17 Use the formula therefore from formula sheet

Example 18 (Ex 7 D 1&2) Integrate of the following function:

Solution to Example 18 Use from formula sheet

Example 19 (Ex 7 D 1&2) Find and given

Solution to Example 19 therefore

Integration by Substitution

Example 20 (Ex 7 D 1&2)

Solution to Example 20

Example 21 (Ex 7 D 1&2)

Solution to Example 21

This Week • Calculus Study Guide week 6 pages 65 to 70. • Exercise 7 D 1 Q 1 – 4 • Exercise 7 D 2 Q 1 - 10