1∫(xdx)/((x^2-a^2)(x^2-b^2))
4 Answers
21Let x2 = z
2x.dx = dz
x.dx = dz/2
12∫dz(z-a2)(z-a2)
12(a2-b2)∫(z-b2) - (z-a2)(z-a2)(z-b2)dz
12(a2-b2)∫(1(z-a2) - 1(z-b2))dz
36alternate way..
given, I = ∫x2(a + bx)2
= 1/b2 ∫ (a + bx - a)2(a + bx)2
Now really easy....!!
break the square and proceed furthur...
