int(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^...

`int_(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^(2)-8y+1])` is equal to

A

0

B

2

C

`-2`

D

2

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Definite intefral Exercise 1 : Single Option Correct Type Questions|1 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
DETERMINANTS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The solution of (dy)/(dx)=((x-1)^2+(y-2)^2tan^(- 1)((y-2)/(x-1)))/((x y-2x-y+2)tan^(- 1)((y-2)/(x-1))) is equal to

If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx) is equal to

Find the radical centre of circles x^(2)+y^(2)+3x+2y+1=0,x^(2)+y^(2)-x+6y+5=0 and x^(2)+y^(2)+5x-8y+15=0 . Also find the equation of the circle cutting them orthogonally.

Number of ordered pair (x,y) which satisfies the relation (x^(4)+1)/(8x^(2))=sin^(2)y*cos^(2) y , where y in [0,2pi]

Consider the circles C_(1)-=x^(2)+y^(2)-2x-4y-4=0andC_(2)-=x^(2)+y^(2)+2x+4y+4=0 and the line L-=x+2y+2=0 then

the value of lim_(x->y) (sin^2x-sin^2y)/(x^2-y^2) equals

(2x^2+3y^2-7)x dx-(3x^2+2y^2-8)y dy=0

Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)

int(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^(2)-8y+1]) is equal to
Text Solution
|
Let f(x)=x^(2) +ax + b and the only solution of the equation f(x)= mi...
Text Solution
|
Ifint(pi/3)^xsqrt((3-sin^2t))dt+int0^ycostdt=0,then evaluate (dy)/(...
Text Solution
|
int(-4)^(4) (sin^(-1)( sinx)+ cos^(-1)(cos x))/((1+x^(2))(1+[(x^(2))/(...
Text Solution
|
The value of the definite integral int (0)^(infty) (dx)/((1+x^(a))(1...
Text Solution
|
The value of the definite integral overset(3pi//4)underset(0)int(1+x)s...
Text Solution
|
Let C(n)= int(1//n+1)^(1//n)(tan^(-1)(nx))/(sin^(-1) (nx)) dx , "then ...
Text Solution
|
If [int0^1(dt)/(t^2+2tcosalpha+1)]x^2-[int- 3^3(t^2sin2t)/(t^2+1)dt]x-...
Text Solution
|
Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...
Text Solution
|
If a, b and c are real numbers, then the value of underset(trarr0)(lim...
Text Solution
|
The value of ("lim")(nvecoo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+s...
Text Solution
|
Let f(x) =int-1^x e^(t^2) dt and h(x)=f(1+g(x)), where g (x) is define...
Text Solution
|
If f be a function satisfying f(x+y)=f(x)+f(y),AAx,yinR. If f(1) = k, ...
Text Solution
|
Let f(x)=int(2)^(x)(dt)/(sqrt(1+t^(4)) and g be the inverse of f. ...
Text Solution
|
For f(x) =x^(4) +|x|, let I(1)= int (0)^(pi)f(cos x) dx and I(2)= int(...
Text Solution
|
Let f be a positive function. Let I(1)=int(1-k)^(k)x f[x(1-x)]dx , I(...
Text Solution
|
Suppose that the quadratic function f(x) = ax^(2) + bx +c is non-negat...
Text Solution
|
Let I (a) =int(0)^(pi) ((x)/(a)+ a sin x)^(2) dx where a is positive r...
Text Solution
|
The set of value of 'a' which satisfy the equation int0^2(t-log2a)dt...
Text Solution
|
lim(x rarr infty) (x^(3) int(-1//x)^(1//x)("In" (1+t^(2)))/(1+e^(t)) d...
Text Solution
|