[{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b[2*(x3<\/sup>) - 3x]dx je","answers":["[(x4<\/sup>) - 3*(x2<\/sup>)]\/3 + C","[(x4<\/sup>) - 3*(x2<\/sup>)]\/2 + C","[(x4<\/sup>) + 3*(x2<\/sup>)]\/2 + C","[(x3<\/sup>) - 3*x]\/2 + C"],"correct":"[(x4<\/sup>) - 3*(x2<\/sup>)]\/2 + C","order":"1"},{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b{2x\/[5 - (x2<\/sup>)]}dx je","answers":["[ln |5 - (x2<\/sup>)|] + C","[-ln |5 +(x2<\/sup>)|] + C","[-ln |5 - x|] + C","[-ln |5 - (x2<\/sup>)|] + C"],"correct":"[-ln |5 - (x2<\/sup>)|] + C","order":"2"},{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b[(x\/3)*(ex<\/sup>)]dx je","answers":["1\/3 * (ex<\/sup>)(x + 1) + C","1\/3 * (ex<\/sup>) + C","(ex<\/sup>)(x - 1) + C","1\/3 * (ex<\/sup>)(x - 1) + C"],"correct":"1\/3 * (ex<\/sup>)(x - 1) + C","order":"3"},{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b{3\/[cos2<\/sup>x]}dx v hraniciach od 0 po \u03c0\/4 je","answers":["3","-3","2","-2"],"correct":"3","order":"4"},{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b{1\/[(5x + 1)3<\/sup>]}dx v hraniciach od 0 po 1 je","answers":["[-7\/72]","[7\/72]","72\/7","[-72\/7]"],"correct":"[7\/72]","order":"5"},{"question":"Rie\u0161en\u00edm integr\u00e1lu \u222b{\u221a(x-3)} dx v hraniciach od 3 po 5 je","answers":["[4\/3]","(3\/4)*\u221a2","(4\/3)*\u221a2","[-(4\/3)*\u221a2]"],"correct":"(4\/3)*\u221a2","order":"6"},{"question":"Plocha ohrani\u010den\u00e1 krivkami y = (x2<\/sup>)\/2 a priamkou y = x + 4 je","answers":["17","18","19","20"],"correct":"18","order":"7"},{"question":"Vypo\u010d\u00edtajte objem telesa, ktor\u00fd vznikne rot\u00e1ciou funkcie y = cos x okolo osi x v hraniciach od 0 po \u03c0\/2.","answers":["(\u03c02<\/sup>)","(\u03c03<\/sup>)\/4","\u03c0\/4","(\u03c02<\/sup>)\/4"],"correct":"(\u03c02<\/sup>)\/4","order":"8"},{"question":"\u010co plat\u00ed pre \u222b{sin x} dx","answers":["[- cos x + C]","[cos x + C]","[- sin x + C]","[tg x + C]"],"correct":"[- cos x + C]","order":"9"},{"question":"\u010co plat\u00ed pre \u222b{ln x} dx","answers":["x*ln x + C","ln x - x + C","x*ln x - x + C","x*ln x + x + C"],"correct":"x*ln x - x + C","order":"10"}]