Math Chapter Wise

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q141.The value of the integral 3 1 2 1 x x 1 x 2 x 1 − + + ∫ ∫ is equal to -

Alog 2 B2 log 2 C½ log 2 D4 log 2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q142.The value of the integral / 2 0 cosx sinx cosx π + ∫ ∫ is–

A1/2 B2/π C1/4 D4/π

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q143.The value of the integral 1 1 2 2 0 (sin x) 1 x − ∫ ∫ dx is–

A3 24 π B2 24 π C3 12 π D2 12 π

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EnglishTGT 2003

Q144.The value of x a dx x ∫ ∫ is:

Ax/a loge a + c B2 x/a loge a + c C2 x/a log10 e + c D2 x/a loga e + c

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EnglishPGT -2011 TGT 2003

Q145./ 2 0 1 dx 1 tanx π + ∫ ∫ =

Aπ B2/π C3/π D4/π

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EnglishTGT 2003

Q146.dx 1 2sinx cosx = + + ∫

Alog 1 2tan c 2 + + x Blog 1 2tan c 2 − + x C1 2 log 1 2tan c 2 + + x DNone of the above

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EnglishTGT 2003

Q147.(()) / 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

Q148.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

Q149.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

Q150.The area between x-axis and curve y =cosx, where 0 ≤ x ≤ 2π is

A0 B2 C3 D4

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EnglishTGT 2003

Q151.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

Q152.The value of 2 1 x dx x − ∫ ∫ is

A2 B3 C7 D5

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EnglishTGT 2003

Q153.(()) 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

Q154.2 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

Q155.The value of 4 0 1 sin2xdx π + ∫

A2/π B4/π C1 D0

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EnglishTGT 2001

Q156.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

Q157.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

Q158.The value of 32 6 0 cos xdx π ∫ ∫ is-

Aπ/20 B20/π C20π D10π

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EnglishTGT 2001

Q159.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

Q160.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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