Math Chapter Wise

EnglishLT 2018

Q121.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

Q122.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

Q123.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

Q124.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

Q125.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

Q126.2 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

Q127.3 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

Q128.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

Q129.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

Q130.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

Q131.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

Q132.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

Q133.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

Q134.The area enclosed within the curves x y 1 + = + = is–

A2 B2 C2 2 D4

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

Q135.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

Q136.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

Q137.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

Q138.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

Q139./ 2 0 1 dx 1 tanx π + ∫ ∫ =

Aπ B2/π C3/π D4/π

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EnglishTGT 2003

Q140.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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