Math Chapter Wise

EnglishKVS TGT DEC 2017

Q241.x dx e 1 is–

Ax/log e 1 c Bx/log 1 e c Cx/log 1 e c Dx/log 1 e c

Show answer

EnglishKVS TGT DEC 2017

Q242.3 dx x 1 x is equal to–

A3 1 1 x 1 log c 3 1 x 1 B3 1 1 x 3 log c 3 1 x 3 C3 2 1 log c 3 1 x D3 1 1 log c 3 1 x

Show answer

EnglishKVS TGT DEC 2017

Q243.3 2 dx x x is equal to

A2 log 3 B1 log 4 C4 log 3 D8 log 3

Show answer

EnglishKVS TGT DEC 2017

Q244.If x x e [f(x) f (x)] dx e sin x c then f(x) is equal to–

Acos x Bsin x Cex/cos x Dex/sin x

Show answer

EnglishKVS TGT DEC 2017

Q245.Area bounded by parabola y2 = x and straight line 2y = x is–

A4 3 sq. units B1sq. units C2 3 sq. units D1 3 sq. units

Show answer

EnglishUP PCS (Pre) 1997

Q246./ 2 0 log π ∫ ∫ (sin2x) dx has the value:

Alog2/π Blog2/−π Clog2 2 π Dlog2 2 π −

Show answer

EnglishTGT 2013

Q247.The area of the region bounded by the curve y = x2 and line y = 4 will be

A32 Square unit B16 Square unit C32 3 Square unit D32 5 Square unit

Show answer

EnglishTGT 2013

Q248.The Integral with respect to x of the function 2 f(x) 1 x = + will be

A2 3/2 2 x(1 x) k 3 + + B2 3/ 2 2 (1 x) k 3 + + C2 2 3/ 2 2 x (1 x) k 3 + + D2 1/ 2 2 (1 x) k 3 + +

Show answer

EnglishTGT 2013

Q249.Integral find value of 6 5 0 sin xcos xdx π ∫

A0 B–1 C1 Dπ

Show answer

EnglishTGT 2011

Q250.Above the x-axis the area bounded by the curve (()) 2 3 y 2a x x − = − = and the line x = 2a is-

Aπa2 B2 3 a 2 π C2πa2 D3πa2

Show answer

EnglishTGT 2011

Q251.The value of is (()) x e 1 sinx dx 1 cosx + ∫

Alog tan x c/+ Bx x e tan c 2 + Csin log x c/+ Dx e cotx c +

Show answer

EnglishTGT 2011

Q252.If (()))((()) 1 dx A Btan f(x) C, x sinx 4 sinx 1 tan 1 2 − = + + = + + = + + = + + + − − ∫ Then

A() 1 2 4tan x 3 A,B,f x 5 5 5 15 + = − = B() x 4tan 1 1 2 2 A,B,f x 5 15 15 + − = − = C() 2 2 4tan x 1 A,B,f x 5 5 15 5 + = − = D() x 4tan 1 2 2 2 A,B,f x 5 5 15 15 + =

Show answer

EnglishTGT 2011

Q253.Integral of |x|, if x < 0 is

A2 x c 2 + B2 x c 2 − + Cx+c D–x+c

Show answer

EnglishTGT 2011

Q254.The value of Integral 1.5 2 0 x dx ∫ ∫ is (where [x] is greater integer ≤ x)

A2 2/+ B2 2 C0 DNone of these

Show answer

EnglishTGT 2011

Q255.If /4 n 0 a tan xdx, π = ∫ ∫ ∫ then a2+a4, a3+a5 and a4+b6 will be follow -

AA.P. BG.P. CH.P. DNone of these

Show answer

EnglishUP PCS (Pre) 1998

Q256.The area bounded by the graph of the curve 1 y tan x,0 y 2 − − π = ≤ < = ≤ < = ≤ < = ≤ < from x = 0 to x = 1, the axis of x and the ordinate at x = 1 is:

A1 log2 4 2 π − Blog 2 4 π − C4/π Dlog 2

Show answer

EnglishUP PCS (Pre) 1998

Q257.The integral ((()) cos logx dx ∫ ∫ equals:

Ax sin (log x) + c Bx cos (log x) + c C() () { } x sin log x cos log x c 2 + + D() () { } x sin log x cos log x c 2 − +

Show answer

EnglishUP PCS (Pre) 1998

Q258.The value of c>0, for which ((()) c 0 x 1 x dx 0 − = ∫ ∫ is:

A1/3 B2/3 C1 D3/2

Show answer

EnglishUP PCS (Pre) 1998

Q259.The value of the integral 100 0 | sinx | dx π ∫ ∫ is:

A100 B1 C200 D100 π

Show answer

EnglishUP PCS (Pre) 1998

Q260.If ((()) / 4 n 0 f n tan xdx π = ∫ ∫ ∫ then f (3) + f (1) equals:

A1 B1/2 C1 D3/2

Show answer