Math Chapter Wise

EnglishRajasthan TGT 2013

Q121.If [x] denotes the greatest integer function of x then [ ] [ ] ∫ ∫ b b a a x dx + -x dx=

A2(a – b) Ba – b C2(b – a) D0

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EnglishRajasthan TGT 2013

Q122.If I1 = () ∫ x 2 e dx, 1+x () ∫ x 2 2 2 xe I = dx, 1+ x () ∫ 2 x 3 2 2 x e I = dx, 1+ x then I1 –2I2 + I3 =

A() x 2 e c 1 x + B() x 2 e c 1 x + C() x 2 xe c 1 x + D() x 2 2e c 1 x +

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EnglishRajasthan TGT 2011

Q123.x e 1 dx e 1 − + ∫ ∫ is equal to

Ax e log (e 1) C + + Bx e log (e 1) C − + Cx x 2 2 e 2log (e e) C Dx x 2 2 e 1 log (e e) C 2 − − +

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EnglishRajasthan TGT 2011

Q124.4 dx x(x 1) − ∫ ∫ is equal to

A() 4 4 e 1 log (x /(x 1) C 4 − + B() 4 4 e 1 log (x 1)/ x C 4 − + C() 4 4 e log (x 1)/ x C − + D() 4 4 e log x /(x 1) C − +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q125.Where A and B are real constant then sina dx Ax Blog sec(x a) c, cos(x a) = + − + − ∫

AA cosa,B sina,c = ∈ ℝ BA,B cosa,C sina ∈ = ℝ CA sina,B,C cosa = ∈ = ℝ DA sina,B cosa,c = ∈ ℝ

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q126.The anti-derivative F(x) of the function (()))2 1 f(x) log(logx) logx = + = + such that F(e)=e, will be.

Alog(logx) xlog x e/− − B1 xlog(log x) x 2e logx − + Cxlog(log x) xlogx 2e/− − Dlog(logx) xlogx e/+ +

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EnglishLT 2018

Q127.The area bounded by the curves y | x | 1 = − = − and y | x | 1 = + = + is

A1 B2 C2 2 D4

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EnglishLT 2018

Q128.The value of (()))(((()))) 2 0 xdx 1 x 1 x ∞ + + ∫ ∫ is

A2/π B4/π C3/π D8/π

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EnglishLT 2018

Q129.The value of [ [ [ ] ] 1000 x x 0 e dx − ∫ ∫ is

A−1000/e 1 B−1000/e 1 C1000(e–1) D−e 1/1000

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EnglishLT 2018

Q130.The value of 2 x x e dx ∫ ∫ is

A2ex/+ c B() 2 x x 2 e c + + C(x2 + 2x + 2)ex + c D(x2 – 2x + 2)ex + c

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EnglishLT 2018

Q131.If x =t, y= loge(cost), t 0,, 4 π ∈ then the value of 2 2 4 0 dx dy dt dt dt π + ∫ ∫ is

A() e log 2 1 + B() e log 2 1 − C() e 2 log 2 1 + D() e 2 log 2 1 −

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q132.2 2 dx sin xcos x is equal to–

Atan x cot x c B2/(tan x cot x) c C2/(tan x cot x) c Dtan x cot x c

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q133.3 x dx x 1 is equal to–

A2 3 x x x log 1 x c 2 3 B2 3 x x x log 1 x c 2 3 C2 3 x x x log 1 x c 2 3 DNone of these

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EnglishSECTION B PGT TIER-I 31.11.2014

Q134.If t 1 0 e dt a 1 t then t 1 2 0 e dt (1 t) is equal to –

Ae a 1 2 Be a 1 2 Ce a 1 2 De a 1 2

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EnglishSECTION B PGT TIER-I 31.11.2014

Q135.The area of the region bounded by the curve 2 y x and the line y 4 is –

A32/3 B64/3 C256/3 D128/3

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EnglishSECTION B PGT TIER-I 31.11.2014

Q136.Value of the integral 2 x 1 0 x 2y dy.dx is–

A14/3 B12/5 C8/3 D3/14

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

Q137.Value of the integral 2 2 (x y) 0 0 e dx.dy ∞ ∞ − + ∫∫ ∫∫ is–

A4/π B2/π Cπ Dnone of these

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

Q138.Value of integral ((()) xy x y dy.dx + ∫∫ ∫∫ over the area between the curvesy 2 y x = and y x = is-

A3/56 B3/65 C3/35 Dnone of these

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

Q139.If 2 2 2 2 2 2 2 0 x dx (x a)(x b)(x c) ∞ = + + + + + + + + + + + + ∫ 2(a b)(b c)(c a) π + + + + + + + + + + + + then the value of 2 2 0 dx (x 4)(x 9) ∞ + + ∫ ∫ is–

A60/π B20/π C40/π D80/π

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

Q140.The area enclosed within the curves x y 1 + = + = is–

A2 B2 C2 2 D4

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