Integrate the following functions in
Integrate the following functions in

 

SOLUTION:

Let I = 

 ……….(i)

Let Linear = A  (Quadratic) + B

  ……(ii)

 

Comparing coefficients of  2A = 6  A = 3

Comparing constants, –9A + B = 7

On solving, we get A = 3, B = 34

Putting the values of A and B in eq. (ii),

Putting this value of  in eq. (i),

I = 

I = 

 I = ……….(iii)

Now I1 = 

Putting 

 

 

I1 = 

 = 

 ……….(iv)

Again I2 =

 ……….(v)

Putting values of I1 and I2 in eq. (iii),

I =