(8)
To find the integral of the type 
2
dx
ax
bx
c
+
+
∫
, proceeding as in (7), we
obtain the integral using the standard formulae (9)
To find the integral of the type 
2
px
q
dx
ax
bx
c
++
+
∫
, where p, q, a, b, c are
constants, we are to find real numbers A, B such that
2
+
= A
(
) + B = A (2
) + B
d
px
q
ax
bx
c
ax
b
dx
+
+
+
To determine A and B, we equate from both sides the coefficients of x and the
constant terms A and B are thus obtained and hence the integral is reduced to
one of the known forms INTEGRALS         311
(10) For the evaluation of the integral of the type 
2
(
)
px
q dx
ax
bx
c
+
+
+
∫
, we proceed
as in (9) and transform the integral into known standard forms