Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online problems:

Interactive Problem 235: Diverse Integrals

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
#./interaufg235_en.tex#Calculate:


a)      $ \displaystyle\int\limits_0^\pi x \sin (2x)\, dx$          b)      $ \displaystyle\int \frac{2x+3}{x^2+4} \,dx$          c)      $ \displaystyle\int\limits_1^{\rm {e}} \ln x \,\frac{dx}{x}$

Solution:

a)
$ \, \pi/$
b)
$ \ln \Big\vert$$ \,x^2+$$ \,x+$ $ \Big\vert + $$ /$ $ \, \arctan\Big($$ \,x/$$ \Big) + c$
c)
/
Please give all answers in integers, denominators positive.


   

(Authors: Boßle/Abele)
[Links]
  automatically generated: 3/12/2018