Waste less time on Facebook — follow Brilliant.
×

Need help

i read the question ( given below) but couldn't understand the answer \[\large\int _{ 0 }^{ 1 }{ (\left( \prod _{ N=1 }^{ S }{ \left( x+N \right) } \right) (\sum _{ D=1 }^{ S }{ \frac { 1 }{ (x+D) } ) } )dx }\] in the answer it was asked to assume (x+1)(x+2)........(x+s)=e^t such take we can take log both sides and differentiate such that \[\large\sum _{ D=1 }^{ S }{ \frac { 1 }{ (x+D) } ) } )dx = dt\] but how is this assumption (x+1)(x+2)........(x+s)=e^t possible ????

Note by Jaswinder Singh
2 years, 1 month ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...