Math Chapter Wise

EnglishTGT 1999

Q161.The value of 0 sinnxsinmxdx π ∫ ∫ (where m, n is an integer)

Aπ Bπ/2 Cπ/3 Dπ/4

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EnglishTGT 1999

Q162.The value of integration is ∫ 1 –1 x dx

A0 B1/2 C2 D1

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EnglishTGT 1999

Q163.Integrate 2 (cosax sinbx) dx, π −π − ∫ ∫ where, a and b is an integer?

A–π B0 Cπ D2π

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EnglishTGT 1999

Q164.The value of integrate is 2 1 dx 4x 4x 5 + + ∫

A+ − 2 1 x tan 4 1 B+ − 2 1 x tan 4 1 1 C− 2 1 x tan 4 1 1 D− 2 1 x tan

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EnglishPGT 2011

Q165.tanx dx sinx.cosx ∫ ∫ is equal to:

A2 tan x c/+ B2 cot x c/+ Ctan x c 2 + DNone of these

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EnglishPGT 2011

Q166.3 4 x dx x 1 + ∫ ∫ is equal to:

Alog (x4/+ 1) + c B() 4 1 log x 1 c 4 + + C–log (x4/+ 1) + c DNone of these

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EnglishPGT 2011

Q167.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

Q168.3 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

Q169.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

Q170.2 4 0 sin xdx π = ∫

A0 B1 C2 D4

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EnglishPGT 2011

Q171.The value of 4 x 1 e dx ∫ ∫ is

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

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EnglishPGT 2013

Q172.The value of / 2 0 logtan ∫ ∫ x dx π

A0 Blog2 Cπlog2 D1 2 log 2 π −

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EnglishPGT 2013

Q173.1 1 0 0 x xydxdy − ∫ ∫ ∫ ∫ will be equal -

A1 B1/2 C1/12 D1/24

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EnglishPGT 2013

Q174.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

Q175.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

Q176.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

Q177.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

Q178.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

Q179.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

Q180.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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