CBSE Questions for Class 12 Commerce Maths Integrals Quiz 11 - MCQExams.com

What is 13|1x4|dx equal to ?
  • 232/5
  • 116/5
  • 116/5
  • 232/5
The value of 3/22(x13x)1/2dx is
  • 321+π6
  • 321+π8
  • 32+1π6
  • None of these
The value of integral ab|x|xdx,a<b is 
  • |a||b|
  • |b||a|
  • |a|b
  • |b|a
The value of the definite integral 01(1+ex2)dx is
  • 1
  • 2
  • 1+e1
  • None of the above
Let J=0Inx1+x3dx and K=0xInx1+x3dx then
  • J+K=0
  • JK=0
  • J+K<0
  • J+K>0
The integral π/6π/3f(x)f(x)+f(π2x)dx is equal to
  • π12
  • 12π
  • π13
  • 13π
If a>0 and A=0acos1xdx, then aa(cos1xsin11x2)dx=πaλA. Then λ
  • 0
  • 3
  • 2
  • none of these
π/4π/22+2+2cos4xdx is equal to 
  • 2
  • 2(21)
  • 2
  • none of these
(1+x4)14dx=AIn((1+x4)14+x(1+x4)14x)+Btan1((1+x4)14x)+C,thenA+B=
  • 1/4
  • 1/2
  • 14
  • 12
45e(x+5)2dx+31/32/3e9(x23)2dx  is equal to
  • 1
  • -1
  • 0
  • 2
Let 1n=01211xndx where n>2, then
  • In<π6
  • In>π6
  • In<12
  • In>12
If 0bcf(x+c)dx=kbcf(x)dx then k=
  • 0
  • 1
  • 2
  • -1
If l1012x2,l2012x3dx,l3122x2dx and l4122x3dx then
  • l2>l1
  • l1>l2
  • l3l2
  • None of these
Find the value of the equation :  lnλln(1λ)f(x23)(f(x)+f(x))g(3x2)(g(x)g(x))dx=?   where  λ>1
  • 0
  • 1
  • λ
  • 1/λ
Find the value of the equation  0dx(x+x2+1)3=?
  • 3/8
  • 1/8
  • 3/8
  • 1/8
7(π0x4(1x)4dx1+x2+π) is equal to 
  • 21
  • 22
  • 23
  • none of these
011x1+xdx, is equal to:
  • π41
  • π21
  • π4+1
  • π2+1
011x1+xdx, is equal to
  • π41
  • π21
  • π4+1
  • π2+1
1π2214+x2dx=
  • 0
  • 14
  • π4
  • 12
08[t]dt at equals to (where [.] greatest integer function.)
  • 28
  • 11
  • 2
  • 8
If f(x)=01(xf(t)+1)dt,then03f(x)dx=12 
because 
Statement-2: f(x) = 3x + 1
  • Statements-1 is true, statements-2 is true and statements-2 is correct explanation for statement-1.
  • Statements-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statements-1.
  • Statements-1 is true, statements-2 is false.
  • Statements-1 is false, statements-2 is true.
If Im=1e(lnx)mdx, where mϵN,then I10+10I9 is equal to-
  • e10
  • e1010
  • e
  • e-1
If for every integer n, nn+1f(x)dx=n2, then the value of 24f(x)dx is -
  • 16
  • 14
  • 19
  • None of these.
E=RGMmx2 dx , (where G , M , m are constants ) equal to
  • GMmR2
  • +GMmR2
  • GMmR
  • +GMmR
040362x2x+14036xdx=............
  • 2018
  • 4035
  • 2017
  • -2015
If I1=x111+t2dt and I2=11/x11+t2dt for x > 0, then 
  • I1=I2
  • I1>I2
  • I2>I1
  • None of these.
The value of the integral 131(xx3)13x4dx is
  • 6
  • 0
  • 3
  • 4
45e(x+5)2dx+31/32/3e9(9(x2/3)2 dx is equal toi 
  • e5
  • e4
  • 3e2
  • 0
If z=x+3i then value of 24[arg|ziz+i|]dx, where [.] denotes the greatest integer function, is?
  • 32
  • 63
  • 6
  • None
The area of the region bounded by the lines x=1,x=2, and the curves x(yex)=sinx and 2xy=2sinx+x3 is 
  • e2e16
  • e2e76
  • e2e+16
  • e2e+76
Suppose I1=0π/2cos(πsin2x)dx;I2=0π/2cos(2πsin2x)dx and I3=0π/2cos(πsinx)dx then
  • I1=0
  • I2+I3=0
  • I1+I2+I3=0
  • I2=I3
If cosxdxsin3x(1+sin6x)2/3=f(x)(1+sin6x)1/α+c
Where c is a constant of integration, then λf(π3) is equal to:
  • 98
  • 2
  • 2
  • 98
0:0:2


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