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Mathematik-Online problems:

Problem 932: Power Integration Rule

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
Find the following integrals and verify the results by differentiation.
(a)
$ \displaystyle \int \frac{1}{\sqrt{5-2x}} \; d x$.
(b)
$ \displaystyle \int x(x^2+1)^8 \; d x$.
(c)
$ \displaystyle \int (1+\frac{2}{t^3})^3 \; \frac{1}{t^4} \; d t$.
(d)
$ \displaystyle\int\frac{t^2+4}{\sqrt[3]{t^3+12t+20}} \; d t$.
(Author: Rafee )

see also:

[Solutions]
  automatisch erstellt am 14. 10. 2004