Math Chapter Wise

EnglishPGT 2011

Q161.If (((()))) x 1 x x 2 dx ksin 2 c 1 4 − = + − ∫ ∫ then k is equal to

Alog 2 B1 log2 2 C1/2 D1/log2

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EnglishPGT 2011

Q162.3 1 dx sin xcosx ∫ ∫ is equal to:

A2 c tan x − + B2 tan x c/+ C2 c tan x + D2 tan x c/− +

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EnglishPGT 2011

Q163.x x e cose dx x ∫ ∫ is equal to:

Ax sine c + Bx cose c + Cx 2sine c + DNone of these

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EnglishPGT 2011

Q164.2 4 0 sin xdx π = ∫

A0 B1 C2 D4

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EnglishPGT 2011

Q165.The value of 4 x 1 e dx ∫ ∫ is

A2/e B2/2e C2/4e D2/3e

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EnglishPGT 2013

Q166.The value of / 2 0 logtan ∫ ∫ x dx π

A0 Blog2 Cπlog2 D1 2 log 2 π −

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EnglishPGT 2013

Q167.1 1 0 0 x xydxdy − ∫ ∫ ∫ ∫ will be equal -

A1 B1/2 C1/12 D1/24

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EnglishPGT 2013

Q168.The area between parabola y2 =4ax and x2 =4ay are

A4 2 3 a B8 2 3 a C4a D16 2 3 a

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EnglishPGT 2010

Q169.The value of the integration (((())))(((()))) x x dx 1 e 1 e− − + + ∫ ∫ is

A() 1 x e + B() 1 x e − + C() 1 1 x e + D() 1 1 x e − +

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EnglishPGT 2010

Q170.Value of 2 2 2 2 0 xdx a cos x b sin x π + ∫ ∫ is

A2 2ab π B2 ab π C2 2 2 a b π D2ab/π

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EnglishPGT 2009

Q171.The value of 2 1 3 6 x tan x dx 1 x − + ∫ ∫ is

A1 3 tan () − + x c B1 3 2 1 (tan) 6 − + x c C1 2 − (tan–1 x3) D1 2 1 3 3 (tan) − + x c

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EnglishPGT 2009

Q172.dx is xlogxlog(logx) ∫ ∫ equal to

A2 log (log x) + c Blog (x log x) + c Clog {(log(logx)}+c DNone of these

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EnglishPGT 2009

Q173.Value of /4 5 0 tan π θ ∫ dθ is

A1 1 log2 2 2 − B1 1 log 2 2 + C1 1 log2 2 4 − D1 1 log2 2 4 +

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EnglishPGT 2009

Q174.Area included between y2 = 4ax and y = mx is

A2 3 8a 5m B2 3 8a 3m C2 3 4a 5m DNone of these

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EnglishPGT 2009

Q175.Volume of the solid generated by the revolution of the curve y = 3 2 2 a (a x) + about its asymptote is

A2 3 a 3 π B2 4 a 2 π C2 3 a 2 π DNone of these

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EnglishPGT 2009

Q176.If 0 () 2 () a a a f x dx f x dx − = ∫ ∫ ∫ ∫ then

A() f x is an even function B() f x is an odd function C() f x = f(2a – x) DNone of these

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EnglishPGT 2009

Q177.Surface area of a hemisphere of radius a is

A4πa2 B2πa2 Cπa2 Da2

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EnglishPGT 2005

Q178.If [x] stands for greatest integer function, then the value of 2 0 x dx ∫ ∫ is:

A4 B3 C6 DNone of these

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EnglishPGT 2005

Q179.4 sinxcosx dx 1 sin x + ∫ ∫ is:

Alog (1 + sin4/x )+c B2 1 log(1 sin) 2 + + x c C1 2 1 tan (sin) 2 − + x c Dtan –1 (sin2 x) + c

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EnglishPGT 2005

Q180.1 tan xdx − ∫ ∫ is equal to

A() 1 1 tan− + − + x x x c B() 1 1 tan− + + + x x x c C1 tan− + + x x x c D1 tan− − + x x x c

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