Integral (medium)

Description

Aufnahmeprüfung Studienkolleg Mathematik Quiz on Integral (medium), created by IWKZ Tutorium on 13/09/2021.
IWKZ Tutorium
Quiz by IWKZ Tutorium, updated more than 1 year ago
IWKZ Tutorium
Created by 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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