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-__—————= __ MULTIPLE CHOICE QUESTIONS (MCQs), Mark - correct alternative in each of the following:, , , , Z, 7 ax is equal to, 4+x", (a) i tan” 124C (b) sia, (c) baw) (d) none of these, 1 ;, 2. | sexctranz Aris equatto, (a) esun(5 zoe (b) log tan( 3-5) +C, (c) log tan(+ s}re (d) none of these, , 3. J x sec x? dx is equal to, , (a) 4 og (sec x* + tan x4) +C (b) 2 Jog (sec 22+ tan 2) +C, , (c) 2 log (sec x7 + tan x*) +C (d) none of these, , 1 -1, 4, If Rcdcne dx=A tan [Bans + 3}+C-then, , , , 2°3, @) A=3,8=3 o) A=4,B=2, () A=-2,B=3 ; (@) A=4,B=-3, 5 J 0+ (28 «const ris eu to, (a) *"* 40 (b) x*"* cos x+C, (c) Sc (d) none of these, , 6. integration of with respect to log, x is, x, , -1, (a) Sn. 6) 5 ¢ (b) tan“! (log, x) +C, , , , (c) tan! x +C (d) none of these, , 7 f —sonce1 : If base cone acos 8x +C, thena, , @-- o% (d) -5
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x+3, é dx =, = ao, , ie, x+4*, , , , @—7tCc ©) , At, sin x, , [) ee, = 3+4 cos? x, , (a) log (3 +4 cos? x)+C, , () “en (2H }+c, we. J e(iee la, (a) ~e tan 5 +C, , () ~}e tanZ+c, , 2, , een, ar J Cer", , om, , , , (a) = +c, , fre, , , , © on eat, f Za+2 ele, cos? (xe*), (a) 2 log, cos (xe*) +C, (c) tan (29°) +C, sin? a dx =, cos* x, , (a) F tan? x+C, , 23., , , , (c) tan? x +C, 24. The primitive of the function, , Pe, pear=(1-3)¢ * a>0is, , 2¢=, =, , (a) =, , 25. The vatusict |, (a) 1+logx, , (c) x log (1 + log x), , , , (b) log.a-a, , , , es, , 1, x+y, , () 4, , dx is, , é, , ©: —t+c @ ae, , x+4 (x +4), , (b) sap tan” B}re, (d) yp tan! *E' +e, (b) ~€ cots +C, , (d) -}¢ cot +C, , , , ») Fee?, , +C, , , , 1, d, O Fe, , (b). sec (xe*)+C . (d) tan (x+e")+C, , i. 2, (b) 3 tan x+C, (d) none of these, , ‘, , 1, xT ., , log.a (a) ies, , , , , , (b) x + log x, (d) log (1 + log x)