Integration help!

Question

Question One

 

Question Two

 

Question Three

Answer 1

1a)

Given integral in the form of 

So + c

 

1b)

Given integral in the form of 

=

 

So 

 

1c)

Given integral in the form of 

So 

 

Answer 2

2a) f(x) = x²-8x-2

Given integral in the form of 

So 

 

2b) g(x) = 2sinx + sec²x

So 

 

2c)

Let u = cosx

du = - sin x dx

dx = -du / sinx

So  

 

Answer 3

3a)

Given integral in the form of