intégration par partie

Quiz by bonsavoir.be, updated more than 1 year ago
 Created by bonsavoir.be almost 6 years ago
11
0

Description

Maths Quiz on intégration par partie, created by bonsavoir.be on 07/15/2015.

Resource summary

Question 1

Question
$\int x e^x dx =$
• $x f(x) - \int f(x) dx$
• $x f(x) + \int f(x) dx$
• $x f(x) - \int f'(x) dx$
• aucune de ses solution

Question 2

Question
$\int x ln(x) dx =$
• $\int e^x g(x) dx - \int e^x g'(x) dx$
• $e^x g(x) - \int e^x g'(x) dx$
• $e^x g(x) + \int e^x g(x) dx$
• $\int e^x g(x) dx + \int e^x g'(x) dx$

Question 3

Question
$\int x sin(x) dx =$
• $sinx - cos(x)$
• $sinx+ x cos(x)$
• $cosx - x sin(x)$
• $sinx - x cos(x)$

Question 4

Question
$\int \frac {x^2}{e^x} dx =$
• $x (lnx + 1)$
• $x (lnx - 1)$
• $x lnx - 1$ \]
• $\ (lnx -x)$ \]

Question 5

Question
$\int \frac {ln(x)}{x^2} dx =$
• x^-²
• $\-frac {1 + ln(x)}{x}$
• $\frac{x^2 ln(x)}{2} - \frac{x²}{4}$
• ---

Question 6

Question
$\int x^2 cos(x) dx =$
• $\e^x (x-1)$
• -
• --
• ---

Question 7

Question
$\int sin x e^x dx =$
• 1
• 2
• 3
• 4

Question 8

Question
$\int \frac {cos(x)}{e^x} dx =$
• redd
• $bold \red 5$
• 3
• 4

Question 9

Question
$\int cos(x)^2 dx =$
• -
• 2
• ---
• $\frac{1}{2} (x + sin(x) cos(x) =$

Question 10

Question
$\int \frac {dx}{cos(x)} = \int \frac {1}{cos(x)} * \frac {sin(x)}{sin(x)} dx = \int \frac {sin(x)}{cos(x)} * \frac {1}{sin(x)} dx = \int tg(x) * \frac {1}{sin(x)} dx =$
• $\frac {{\color{red} sin(x)}}{{\color{red} sin(x)}} }$
• --
• ---
• ----

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