The integral  is equal to

a)

b)

c) 1

d)

The value of  is

a)

b)

c) e^x . x + c

d) none of these

If  then k is equal to

a) ln2

b)

c)

d)

 equals

a) 0

b) π

c) 2

d) None of these

If  then

a) 0

b) 1

c) 2

d) 3

 is equal to

a)

b)

c)

d)

The value of  is

a) 0

b) 1

c) 2

d) 4

Let  then one of the possible value of k is

a) 1

b) 2

c) 4

d) 16

Find  

a) 0

b) 1

c) 2

d) 4

Evaluate
 

Evaluate
 

Evaluate
 

Evaluate
 

 dx

Evaluate
 

Evaluate
 

If α be a real number compute
 

Evaluate
 . Hence deduce that

If  is an integer, compute
 

Evaluate
 
and use the answer to prove that
 

Evaluate
 

Evaluate  dx

Evaluate