Home
Class 12
MATHS
"If " y=int(dx)/((1+x^(2))^((3)/(2))) " ...

`"If " y=int(dx)/((1+x^(2))^((3)/(2))) " and " y=0 " when " x=0," the value of " y " when "`
`x=1 " is" `

A

`sqrt(2/3)`

B

`sqrt(2)`

C

`3sqrt(2)`

D

`1/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise Section C: Integration by parts:|6 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise Section D: Algebraic Integral:|5 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise PART-II ONLY ONE OPTION CORRECT TYPE|6 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

If y=int1/(1+x^2)^(3/2)dx and y=0 when x=0 , then value of y when x=1 is

If dy/dx=e^(-2y) and y=0 when x=5, then the value of x for y=3 is

If ye^(y) dx = (y^(3) + 2xe^(y))dy, y(0) = 1 , then the value of x when y = 0 is

If (1+x^2)(dy)/(dx)=x(1-y),y(0)=4/3, then the value of y(8)+8/9 is

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

If y(x) is a solution of (dy)/(dx)-(xy)/(1+x)=(1)/(1+x) and y(0)=-1 , then the value of y(2) is

If dy/dx+2ytanx=sinx and y=0 , when x=pi/3 , show that the maximum value of y is 1/8

Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y is 1 when x = 1, then the value of x for which y = 2, is

Consider the differential equation ydx-(x+y^(2))dy=0 . If for y=1, x takes value 1, then value of x when y = 4, is

Solve the differential equation (dy)/(dx) = y + int_(0)^(1)y(x)dx , given that the value of y is 1 , when x = 0 .