intégration par partie

Question 1

Question

$\int x e^x dx =$

Answer

$x f(x) - \int f(x) dx$
$x f(x) + \int f(x) dx$
$x f(x) - \int f'(x) dx$
aucune de ses solution

Question 2

Question

$\int x ln(x) dx =$

Answer

$\int e^x g(x) dx - \int e^x g'(x) dx$
$e^x g(x) - \int e^x g'(x) dx$
$e^x g(x) + \int e^x g(x) dx$
$\int e^x g(x) dx + \int e^x g'(x) dx$

Question 3

Question

$\int x sin(x) dx =$

Answer

$sinx - cos(x)$
$sinx+ x cos(x)$
$cosx - x sin(x)$
$sinx - x cos(x)$

Question 4

Question

$\int \frac {x^2}{e^x} dx =$

Answer

$x (lnx + 1)$
$x (lnx - 1)$
$x lnx - 1$ \]
$\ (lnx -x)$ \]

Question 5

Question

$\int \frac {ln(x)}{x^2} dx =$

Answer

x^-²
$\-frac {1 + ln(x)}{x}$
$\frac{x^2 ln(x)}{2} - \frac{x²}{4}$
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Question 6

Question

$\int x^2 cos(x) dx =$

Answer

$\e^x (x-1)$
-
--
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Question 7

Question

$\int sin x e^x dx =$

Answer

Question 8

Question

$\int \frac {cos(x)}{e^x} dx =$

Answer

redd
$bold \red 5$
3
4

Question 9

Question

$\int cos(x)^2 dx =$

Answer

-
2
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$\frac{1}{2} (x + sin(x) cos(x) =$

Question 10

Question

$\int \frac {dx}{cos(x)} = \int \frac {1}{cos(x)} * \frac {sin(x)}{sin(x)} dx = \int \frac {sin(x)}{cos(x)} * \frac {1}{sin(x)} dx = \int tg(x) * \frac {1}{sin(x)} dx =$

Answer

$\frac {{\color{red} sin(x)}}{{\color{red} sin(x)}} }$
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intégration par partie

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Resource summary

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

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