Quiz : Maîtrisez les primitives en Terminale Mathématiques

Question 1 sur 10 10:00

[{"id":52751,"question":"Quelle est la primitive de f(x) = 3x² ?","option_a":"A) x³ + C","option_b":"B) x³","option_c":"C) 6x + C","option_d":"D) x² + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 3x² est x³ + C car la dérivée de x³ est 3x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52752,"question":"La primitive de f(x) = 1\/x est ln|x| + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de ln|x| est 1\/x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52753,"question":"Quelle est la primitive de f(x) = cos(x) ?","option_a":"A) sin(x) + C","option_b":"B) -sin(x) + C","option_c":"C) cos(x) + C","option_d":"D) tan(x) + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de cos(x) est sin(x) + C car la dérivée de sin(x) est cos(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52754,"question":"La primitive de f(x) = e^x est e^x + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de e^x est e^x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52755,"question":"Quelle est la primitive de f(x) = 5 ?","option_a":"A) 5x + C","option_b":"B) x + C","option_c":"C) 5 + C","option_d":"D) 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 5 est 5x + C car la dérivée de 5x est 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52756,"question":"La primitive de f(x) = 1\/(1+x²) est arctan(x) + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de arctan(x) est 1\/(1+x²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52757,"question":"Quelle est la primitive de f(x) = 2x + 1 ?","option_a":"A) x² + x + C","option_b":"B) 2x² + x + C","option_c":"C) x + C","option_d":"D) x² + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 2x + 1 est x² + x + C car la dérivée de x² + x est 2x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52758,"question":"La primitive de f(x) = sin(x) est -cos(x) + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de -cos(x) est sin(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52759,"question":"Quelle est la primitive de f(x) = 1\/√(1-x²) ?","option_a":"A) arcsin(x) + C","option_b":"B) arccos(x) + C","option_c":"C) arctan(x) + C","option_d":"D) ln|x| + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 1\/√(1-x²) est arcsin(x) + C car la dérivée de arcsin(x) est 1\/√(1-x²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52760,"question":"La primitive de f(x) = x*e^x est e^x(x-1) + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car en utilisant l'intégration par parties, on obtient e^x(x-1) + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]