⋆ Pattern – 43 (ii)
Integrals of differential binomials and chebyslev’s criterion
∫dx : p ≠ 0
(ii) If p is a negative integer and m,n are rational numbers, put x =
⋆ Pattern – 43(i)
∫ : p ≠ 0
(i) If …
⋆ Pattern – 42
Substitute :
Nr = A(gx…
⋆ Pattern : 41
then put x=
⋆ Pattern – 40
then put px+q=
Pattern – 39 :
\int\frac{ax+b}{\left(px^2+qx+r\right)\ \sqrt{mx+n\ }}dx\ \ \ or\ \ \
\int\frac{1}{\left(px^2+qx+r\right)\ \sqrt{mx+n}}dx,\ then\ put\ mx+n=t^2
1) Evaluate :
Pattern – 38 :
then put ax + b +
⋆ Pattern – 37
Pattern 36 :
⋆ Pattern – 35
∴
