If int (cosec ^(2)x-2010)/(cos ^(2010)x)...

If `int (cosec ^(2)x-2010)/(cos ^(2010)x)dx = =(f (x))/((g (x ))^(2010))+C,` where `f ((pi)/(4))=1,` then the number of solution of the equation `(f(x))/(g (x))={x}` in `[0,2pi]` is/are: (where {.} represents fractional part function)

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

INDEFINITE AND DEFINITE INTEGRATION
VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos
INDEFINITE AND DEFINITE INTEGRATION
VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos
HYPERBOLA
VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos
INVERSE TRIGONOMETRIC FUNTIONS
VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

If int(sec^(2)x-2010)/(sin^(2010)x)dx=(P(x))/(sin^(2010) x)+C , then value of P((pi)/(3)) is

If {(sin{cos x})/(x-(pi)/(2)),x!=(pi)/(2) and 1,x=(pi)/(2) where {.} represents the fractional part function,then f(x) is

The period of the function f(x)=cos2pi{2x}+ sin2 pi {2x} , is ( where {x} denotes the functional part of x)

Period of the function f(x)=cos(cos pi x)+e^({4x}), where {.} denotes the fractional part of x, is

The number of solutions of 4{x}=x+ [x] where [.] denotes G.I.F and {.} represents fractional part function is equal to

If f(x)={x}+{2x} and g(x)=[x]. The number of solutions of f(x)=g(x), where {.} and [x] are respectively the fractional part and greatest functions, is

" 4.The domain of the function "f(x)=(1)/(sqrt({sin x}+{sin(pi+x)}))" where "{" -} denotes the fractional part,is "

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -

Number of points where f(x)= 2x +{3x} is discontinuous in 0 2 is (where is G.I.F and {} is fractional part)

VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)

If int (cosec ^(2)x-2010)/(cos ^(2010)x)dx = =(f (x))/((g (x ))^(2010)...
Text Solution
|
int (x+ ( cos^(-1)3x )^(2))/(sqrt(1-9x ^(2)))dx = (1)/(k (1)) ( sqrt(1...
Text Solution
|
If int (0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then fi...
Text Solution
|
int( (x^2+1)dx)/x
Text Solution
|
If int (x ^(6) +x ^(4)+x^(2)) sqrt(2x ^(4) +3x ^(2)+6) dx = ((ax ^(6) ...
Text Solution
|
int( x^2+3)/(x^2+2)dx
Text Solution
|
The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...
Text Solution
|
Let int (0)^(1) (4x ^(3) (1+(x ^(4)) ^(2010)))/((1+x^(4))^(2012))dx = ...
Text Solution
|
Let int ( 1) ^(sqrt5)(x ^(2x ^(2)+1) +ln "("x ^(2x ^(2x ^(2+1)))")")dx...
Text Solution
|
If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...
Text Solution
|
Find the value of |a| for which the area of triangle included between ...
Text Solution
|
Let I = int (0) ^(pi) x ^(6) (pi-x) ^(8)dx, then (pi ^(15))/((""^(15) ...
Text Solution
|
int( x^3)/(x^2-3)dx
Text Solution
|
If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...
Text Solution
|
If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...
Text Solution
|
int( x^3)/(x^2-2)dx
Text Solution
|
IF M be the maximum valur of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...
Text Solution
|
Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...
Text Solution
|
underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)...
Text Solution
|
The maximum value of int (-pi//2) ^(2pi//2) sin x. f (x) dx, subject t...
Text Solution
|
Given a funtion g, continous everywhere such that g (1)=5 and int (0)^...
Text Solution
|