Evaluate the following integrals. int_0^3frac{2x-1}{x+1}

aflacatn 2021-02-12 Answered
Evaluate the following integrals.
032x1x+1
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

Expert Answer

Mayme
Answered 2021-02-13 Author has 103 answers
Consider the given integral
032x1x+1
Let x+1=udx=du
Also, when x=0u=1 when x=3u=4
So, the integral becomes:
142(u1)1udu
142u3udu
142uu3udu
1423udu
=2u3ln(u)|14
=2(4)3ln(4)2(1)+3ln(1)
83ln(4)2+3(0)
63ln(22)
66ln(2)
Hence, 032x1x+1dx=66ln(2)
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

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