Math Chapter Wise

EnglishTGT 2003

Q141.(()) / 2 2 2 / 2 sin xcos x sinx cosx dx π −π + = ∫

A2/15 B4/15 C6/15 D8/15

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EnglishTGT 2003

Q142.Area lying between the parabola y2 = 4ax and its latus rectum is

A8 3 a2 B8 3 a C4a/3 D2 4a 3

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EnglishTGT 2003

Q143.Area bounded by the curve y=x sinx and x– axis, where x=0 to x=2π

A2π B3π C4π DNone of these

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EnglishTGT 2003

Q144.The area between x-axis and curve y =cosx, where 0 ≤ x ≤ 2π is

A0 B2 C3 D4

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EnglishTGT 2003

Q145.For 0 ≤ x ≤ π, the area bounded by y = x and y=x + sin x, is

A2 B4 C2π D4π

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EnglishTGT 2003

Q146.The value of 2 1 x dx x − ∫ ∫ is

A2 B3 C7 D5

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EnglishTGT 2003

Q147.(()) dx 1 sinx + ∫

A1 2 log tan 4 8 π + x B2 log tan 4 8 π + x C2 2 log tan 4 8 π + x D1 2 2 log tan 4 8 π + x

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EnglishTGT 2003

Q148.2 2x x e dx = ∫

A2x 2 e [2x 2x +1] − + c B2x 2 1 e [2x 2x +1] 2 − C2x 2 1 e [2x 2x +1] 4 + DNone of the above

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EnglishTGT 2003

Q149.The value of 4 0 1 sin2xdx π + ∫

A2/π B4/π C1 D0

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EnglishTGT 2001

Q150.The value of integral ((()) 2 1 1 cos2x dx 2 π −π − ∫ ∫ is

A0 B2 C1/2 DNone of these

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EnglishTGT 2001

Q151.The value of / 4 2 / 4 sin xdx π −π ∫ ∫ is-

A1 4 2 π − B1 4 2 π + C1 2 2 π + D1 2 2 π −

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EnglishTGT 2001

Q152.The value of 32 6 0 cos xdx π ∫ ∫ is-

Aπ/20 B20/π C20π D10π

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EnglishTGT 2001

Q153.The value of (()) 2 logx dx 1 log x + ∫ ∫ is

Ax k 1 log x + − Bx k 1 log x + C1 log x k 2 + Dx k 1 log x − +

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EnglishTGT 1999

Q154.The value of 2 x d sint dt dx t x ∫ ∫ is

A(2sin x2/– sin x) B(2sin x2/+ sin x) C2 1 (2sin x2 – sin x) Dx 1 (2sin x2 – sin x)

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EnglishTGT 1999

Q155.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

Q156.The value of integration is ∫ 1 –1 x dx

A0 B1/2 C2 D1

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EnglishTGT 1999

Q157.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

Q158.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

Q159.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

Q160.3 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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