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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)

see also:


  automatically generated: 3/12/2018