ThePrismSolutions

ThePrismSolutions

DAILY PRACTICE PAPER(14Th June 2018)

(1) ∫aloga(sec2X + tanX) dX equals

(a) etanX + logsecX + C      (b) etanX + esecX + C

(c) tanX + logsecX + C     (d) secX + logcosX + C

(2) ∫sin-1(3X - 4X3)dX

(a) Xsin-1X + √(1 - X2) + c
(b) Xsin-1X √(1 - X2) + c
(c) 2[Xsin-1X + √(1 - X2)] + c
(d) 3[Xsin-1X + √(1 - X2)] + c

(3) ∫(elogX + sinX)cosX dX

(a) XsinX + cosX + (1/2)cos2X + c
(b) XsinX - cosX + (1/4)cos2X + c
(c) XsinX + cosX - (1/4)cos2X + c
(d) None of these

Q.) ∫X sinX sec3X dX

(a) 1/2[sec2X - tanX] + c
(b) 1/2[Xsec2X - tanX] + c
(c) 1/2[Xsec2X + tanX] + c
(d) 1/2[sec2X + tanX] + c

(5) ∫cosX/((1 + sinX)(2 + sinX))dX

(a) log((2 + sinX)/(1 + sinX)) + c
(b) log((1 + sinX)/(2 + sinX)) + c
(c) log((1 + sinX)/(2 + sinX)) + c
(d) None of these



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