Rajat Jain posted an Question
May 22, 2020 • 00:45 am 50 points
  • IIT JAM
  • Mathematics (MA)

H rule for finding definite integral g to evaluate the definite integral f(x)dx (a < b) first find out the indefinite integral of f(x) i.e., f(x) dx, leaving th

H Rule for Finding Definite Integral g To evaluate the definite integral f(x)dx (a < b) First find out the indefinite integral of f(x) i.e., f(x) dx, leaving the constant of integration c. X b ( Let f(x)dx = F(x) then, f(x) dx = F(x) xa =Lim F(x) - Lim F(x) X-b- X a To evaluate above the following cases may arise Case I: If f(x) is continuous at x = a and x = b Lim F(x) =F(a) Lim F(x) = F(b) x-b and X >at str (X) dx= F(b) -F(a) then Case l: If f(x) is continuous at x = a and discontinuous at x = b y= Lim F(x)=F(a) X-a+ f(x) dx =Lim F(x) -F(a) then Case ll: If fx) is discontinuous at x = a and continuous at x= b: Lim F(x) = F(b) Xb f(x) dx = F(b) - Lim F(x) then X-at

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers