L'énoncé
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Question 1
Calculer : $\displaystyle \int_0^2 3dx$
$3$
$6$
$12$
Question 2
Calculer : $\displaystyle \int_0^4 -5dx$
$20$
$-10$
$-20$
$\displaystyle \int_0^4 -5dx= \big [-5x\big]_0^4=-20+0=-20$
Question 3
Calculer : $\displaystyle \int_0^3 2xdx$
$9$
$\displaystyle \int_0^3 2xdx= \big [x^2\big]_0^3=9-0=9$
$-9$
$3$
Question 4
Calculer : $\displaystyle \int_1^5 2xdx$
$35$
$15$
$24$
$\displaystyle \int_1^5 2xdx= \big [x^2\big]_1^5=25-1=24$
Question 5
Calculer : $\displaystyle \int_0^1 e^xdx$
$e$
$e+1$
$e-1$
$\displaystyle \int_0^1 e^xdx= \big [e^x\big]_0^1=e^1-e^0=e-1$
$1-e$
Question 6
Calculer : $\displaystyle \int_{-3}^2 dx$
$-1$
$1$
$5$
$\displaystyle \int_{-3}^2 dx = \big [x\big]_{-3}^2=2-(-3)=2+3=5$
$-5$
Question 7
Calculer : $\displaystyle \int_{-1}^3 2x+1dx$
$10$
$\displaystyle \int_{-1}^3 2x+1= \big [x^2+x\big]_{-1}^3=(9+3) -(1-1)=12$
$-10$
$11$
Question 8
Calculer : $\displaystyle \int_{-2}^2 4x^3dx$
$16$
$32$
$0$
$\displaystyle \int_{-2}^2 4x^3= \big [x^4\big]_{-2}^2=(16) -(16)=0$
Question 9
Calculer : $\displaystyle \int_{-1}^1 e^{-x}dx$
$e-1$
$e-e^{-1}$
$\displaystyle \int_{-1}^1 e^{-x}dx= \big [-e^{-x}\big]_{-1}^1=-e^{-1}+e^1=e-e^{-1}$
$1-e$
Question 10
Calculer : $\displaystyle \int_{2}^e \dfrac{1}{x}dx$
$\ln 2$
$1- \ln 2$
$\displaystyle \int_{2}^e \dfrac{1}{x}dx= \big [\ln x\big]_2^e=\ln e -\ln 2=1-\ln 2$
$\ln 2-1$
$\displaystyle \int_0^2 3dx= \big [3x\big]_0^2=6-0=6$