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33257518
Integral (medium)
Description
Aufnahmeprüfung Studienkolleg Mathematik Quiz on Integral (medium), created by IWKZ Tutorium on 13/09/2021.
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mathematik
aufnahmeprüfung studienkolleg
Quiz by
IWKZ Tutorium
, updated more than 1 year ago
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IWKZ Tutorium
almost 3 years ago
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Resource summary
Question 1
Question
Bestimmen Sie das Integral von Funktionen: \(x_1=\dfrac{x^2}{x^2 +1} \) \(x_2=\cos^3 x\cdot 3\tan x \) \(x_3=9\sqrt{3x+5} \) \(\int x_1 \ dx=\) [blank_start]a[blank_end] \(,\int x_2 \ dx=\) [blank_start]a[blank_end] \(,\int x_3 \ dx=\) [blank_start]a[blank_end]
Answer
\(x-\arctan x +c\)
\(x-\arcsin x +c\)
\(x-\arccos x +c\)
\(-\cos^3 x +c\)
\(\cos^3 x +c\)
\(-\sin^3 x +c\)
\(2(3x+5)\sqrt{3x+5} +c\)
\(3(3x+5)\sqrt{3x+5} +c\)
\(2(3x+5)\sqrt[3]{3x+5} +c\)
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