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Mathematics-Online problems:

Interactive Problem 842: Integration by known primitives

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
Calculate the following integrals:

$\displaystyle {\bf a)}\quad \int\limits_1^2 (x+1/x)^2\,dx\,,\qquad {\bf b)}\quad \int\limits_0^{k\pi} \cos x +\sin x\,dx\,,\ k\in \mathbb{N}\,. $

Solution: Please round answers to four positions after decimal point.

a)     

b)     $ k=1$:         $ k=2$:


   

(Authors: Höllig/Abele)

see also:

  automatically generated: 3/12/2018