3071488
Description
Quiz by bonsavoir.be, updated more than 1 year ago
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Created by bonsavoir.be
over 9 years ago
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Question 1
Question
\[\int x e^x dx = \]
Answer
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\[x f(x) - \int f(x) dx \]
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\[x f(x) + \int f(x) dx \]
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\[x f(x) - \int f'(x) dx \]
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aucune de ses solution
Question 2
Question
\[\int x ln(x) dx = \]
Answer
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\[\int e^x g(x) dx - \int e^x g'(x) dx \]
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\[e^x g(x) - \int e^x g'(x) dx \]
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\[e^x g(x) + \int e^x g(x) dx \]
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\[\int e^x g(x) dx + \int e^x g'(x) dx \]
Question 3
Question
\[\int x sin(x) dx = \]
Answer
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\[sinx - cos(x) \]
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\[sinx+ x cos(x) \]
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\[cosx - x sin(x) \]
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\[sinx - x cos(x) \]
Question 4
Question
\[\int \frac {x^2}{e^x} dx = \]
Answer
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\[x (lnx + 1) \]
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\[x (lnx - 1) \]
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\[x lnx - 1 \] \]
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\[\ (lnx -x) \] \]
Question 5
Question
\[\int \frac {ln(x)}{x^2} dx = \]
Answer
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x^-²
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\[\-frac {1 + ln(x)}{x} \]
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\[ \frac{x^2 ln(x)}{2} - \frac{x²}{4}\]
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---
Question 6
Question
\[\int x^2 cos(x) dx = \]
Answer
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\[\e^x (x-1) \]
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-
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--
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---
Question 7
Question
\[ \int sin x e^x dx = \]
Answer
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1
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2
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3
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4
Question 8
Question
\[ \int \frac {cos(x)}{e^x} dx = \]
Answer
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redd
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\[ bold \red 5 \]
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3
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4
Question 9
Question
\[ \int cos(x)^2 dx = \]
Answer
-
-
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2
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---
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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
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\[\frac {{\color{red} sin(x)}}{{\color{red} sin(x)}} }\]
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--
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---
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