Purchase Solution

Integration as the limit of a sum

Not what you're looking for?

Ask Custom Question

Find the integral by the method of summation the values of :-
(a) integral of e^(-x) where the range of integration is from a to b.
(b) integral of e^(kx) where the range of integration is from a to b.

Purchase this Solution

Solution Summary

This solution is comprised of a detailed explanation for finding the integral by the method of summation the values.
It contains step-by-step explanation for finding the integral by the method of summation the values of :-

(a) integral of e^(-x) where the range of integration is from a to b.
(b) integral of e^(kx) where the range of integration is from a to b.

Solution contains detailed step-by-step explanation.

Solution Preview

Please see the attached file.

Integration as the limit of a sum

Written by :- Thokchom Sarojkumar Sinha

Find the integral by the method of summation the values of :-

b b
(a) ∫ e-x dx (b) ∫ ekx dx
a a

b n-1
Solution :- ∫ e-x dx = Lt h ∑ e-(a + rh) , where nh = b - a
a h→0 r = 0

= Lt h [ e-a + e-(a+h) + e-(a+2h) + ........+ e-{a+(n-1)h}]
h→0

...

Solution provided by:
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.