Chapter – Indefinite Integral
Sub Topic – Integrals of some more Types
Outline
Integral of the type :
= f(x)
[Take u = f(x), dv =
Proof :
]
+C
Problem
Solution:
=
=
Integrals of some more types
Solution: Taking constant function 1 as the second function
and integrating by parts, we have
I = x
= x
= x
= x
= x
= x
= x
Or 2I = x
Or I =
Similarly, integrating other two integrals by parts, taking constant
function 1 as the second functions, we get
(2)
Hint; Put x = a
(3)
Hint Put x = a