Question 1 - A-Level Maths

Exam Board	AQA
Module	C2 (Core Mathematics 2)
Year	2007
Session	June
Topic	Standard Integrals and Reverse Chain Rule

Simplify:
1. \(x ^ { \frac { 3 } { 2 } } \times x ^ { \frac { 1 } { 2 } }\);
2. \(x ^ { \frac { 3 } { 2 } } \div x\);
3. \(\left( x ^ { \frac { 3 } { 2 } } \right) ^ { 2 }\).
1. Find \(\int 3 x ^ { \frac { 1 } { 2 } } \mathrm {~d} x\).
2. Hence find the value of \(\int _ { 1 } ^ { 9 } 3 x ^ { \frac { 1 } { 2 } } \mathrm {~d} x\).