Quiz — 7 primitives 

Question 1 sur 5 10:00

[{"id":178,"question":"Quelle est la primitive de la fonction f(x) = 4x^3 ?","option_a":"F(x) = x^4 + C","option_b":"F(x) = 12x^2 + C","option_c":"F(x) = x^3 + C","option_d":"F(x) = 4x^4 + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de x^n est x^(n+1)\/(n+1) + C. Ici, n=3, donc la primitive est 4*(x^(3+1))\/(3+1) + C = x^4 + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":179,"question":"Quelle est la primitive de la fonction f(x) = e^(2x) ?","option_a":"F(x) = e^(2x) + C","option_b":"F(x) = (1\/2)e^(2x) + C","option_c":"F(x) = 2e^(2x) + C","option_d":"F(x) = e^x + C","option_e":"","option_f":"","bonne_reponse":"B","explication":"La primitive de e^(kx) est (1\/k)e^(kx) + C. Ici, k=2, donc la primitive est (1\/2)e^(2x) + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":180,"question":"Quelle est la primitive de la fonction f(x) = sin(3x) ?","option_a":"F(x) = -cos(3x) + C","option_b":"F(x) = cos(3x) + C","option_c":"F(x) = -3cos(3x) + C","option_d":"F(x) = (1\/3)cos(3x) + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de sin(kx) est (-1\/k)cos(kx) + C. Ici, k=3, donc la primitive est (-1\/3)cos(3x) + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":181,"question":"Quelle est la primitive de la fonction f(x) = 1\/x ?","option_a":"F(x) = ln(x) + C","option_b":"F(x) = -1\/x^2 + C","option_c":"F(x) = x^(-1) + C","option_d":"F(x) = e^x + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 1\/x est ln|x| + C, car la dérivée de ln|x| est 1\/x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":182,"question":"Quelle est la primitive de la fonction f(x) = cos(x) + x^2 ?","option_a":"F(x) = sin(x) + x^3\/3 + C","option_b":"F(x) = -sin(x) + x^3\/3 + C","option_c":"F(x) = cos(x) + x^3\/3 + C","option_d":"F(x) = sin(x) + x^2 + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de cos(x) est sin(x) et celle de x^2 est x^3\/3. On additionne les primitives et on ajoute la constante C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]