Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q221.The value of 2 0 sinxdx sinx cosx π + ∫ ∫ is

A1 Bπ/2 Cπ/4 Dπ/8

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EnglishKVS PGT 23-12-2018

Q222.(()) (()) x e 1 sinx dx 1 cosx + ∫ ∫ is equal to:

Ax e.log(1 cosx) C + + Bx x e.tan C 2 + Cx e.cot x C + Dx x e.2log tan C 2 +

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EnglishKVS PGT 23-12-2018

Q223.The value of 16 1/ 4 0 x dx 1 x + ∫ ∫ is:

A1 4 tan 2 3 − + B1 8 4tan 2 3 − + C1 4 tan 2 3 − + D1 4 2 tan 2 3 − +

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EnglishKVS PGT 23-12-2018

Q224.The area bounded by the parabola y=x2 and the line y=2x (in square units) is:

A2/3 B4/3 C8/3 D4

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EnglishKVS PGT 23-12-2018

Q225.(((()))) 2 2 4 x 1 log x 1 2logx dx x + + − + + − + + − + + − ∫ ∫ is equal to:

A3 2 2 2 2 2 1 x 1 x 1. 2 3log C 9 x x + + − + B3 2 2 2 2 2 1 x 1 x 1. 2 log C 3 x x + + − + C3 2 2 2 2 2 1 x 1 x 1. 3log 2 C 9 x x + + − + D3 2 2 2 2 2 1 x 1 x 1. 2 3log C 9 x x + +

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EnglishUP PGT-2016 (02-02-2019)

Q226.2 e 1/e log x dx x ∫ ∫ is equal to

A1/2 B3/2 C5/2 D2

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EnglishUP PGT-2016 (02-02-2019)

Q227.Value of / 2 3 / 2 cosx cos xdx π −π − ∫ ∫ is equal to

A0 B1/3 C2/3 D4/3

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EnglishUP PGT-2016 (02-02-2019)

Q228.If x 1 x x 3 dx asin 3 C, 1 9 − = + − ∫ ∫ then a is equal to

Alog 3 B1/log3 C1/2 D1

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EnglishUP PGT-2016 (02-02-2019)

Q229.The area bounded by the curve y=sinx +cos x and the co-ordinate axes in the first quadrant is

A2 1 B2 C2 1/+ D1

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EnglishRajasthan TGT 2011

Q230.4 1 x dx 5 x x is equal to

A0 B1 C2/3 D3/2

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EnglishRajasthan TGT 2011

Q231.2 0 sinx cosx dx π − ∫ ∫ is equql to

A2(2 1) B0 C2 1 D2( 2 1)/+

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EnglishRajasthan TGT 2011

Q232.The area bounded by the curves x y e, = x y e− − = and the line x 1 = is

A1 e e− + B1 e e 1 − + − C1 e e 1 − + + D1 e e 2 − + −

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EnglishRajasthan TGT 2011

Q233.The area bounded by the curve 2 y 4x x 3 = − − = − − = − − = − − and x-axis is

A4/3 B3/4 C7 D3/2

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EnglishRajasthan TGT 2011

Q234.If 2 2 ˆ ˆ F (x y)i xyj = − + = − + = − + = − + and C is the area of the curve 3 y x = from (0,0) to (2,8) then the value of c F.dr ∫ ∫ is

A412/7 B412/21 C824/7 D824/21

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EnglishJharkhand TGT 2017

Q235.For 'c' is an arbitrary constant, (((()))) 2 2 1 dx a x = − ∫

A1 (a x) log c 2a (a x) − + B1 (a x) log c a (a x) + − C1 (a x) log c 2a (a x) + − D1 (a x) log c a (a x) − +

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EnglishJharkhand TGT 2017

Q236.The value of (((()))) 2 4 x dx − ∫ ∫ in [0, 2] is

Aπ B2π C4/π D2/π

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EnglishJharkhand TGT 2017

Q237.For 'c' is an arbitrary constant, (((()))) x e dx e 1 = + ∫

A(ex/+1)+c Blog(ex/+1)+c Clog(ex/–1)+c Dex/+c

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EnglishJharkhand TGT 2017

Q238.The value of 4 sin xdx ∫ ∫ in 0, 2 π is

A16/35 B35 256 π C35/16 D3 16 π

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EnglishJharkhand TGT 2017

Q239.The value of xsinxdx ∫ ∫ in 0, 2 π is

Aπ/2 B0 C2π D1

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EnglishJharkhand TGT 2017

Q240.For a, b ∈R and a2 +b2 ≠ 0 on R, then R 'c' is an arbitrary constant, (()) 1 dx asinx bcosx = + ∫

A1 2 2 1 1 b log tan x tan C 2 a a b − + + + Blog |a sin x +b cos x|+c C(1/2a) sin (2x+b)+c Dlog |a cos x–b sin x|+c

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