Use a table of integrals to evaluate the following integrals. int x/(x+1)dx

ye1neh4 2022-09-27 Answered
Use a table of integrals to evaluate the following integrals. x x + 1 d x
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

vyhlodatis
Answered 2022-09-28 Author has 14 answers
x x + 1 d x
Formula: u d u a + b u = 1 b 2 ( a + b u a ln | a + b u | ) + C
u = x d u = x, and a=1, b=1
Therefore,
x x + 1 d x = x 1 + 1 x d x u d u a + b u = 1 ( 1 ) 2 ( 1 + 1 x 1 ln | 1 + 1 x | ) + C
Simplify
x x + 1 d x = 1 + x ln | 1 + x | + C
x x + 1 d x = x ln | x + 1 | + C
Result:
x ln | x + 1 | + C
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions