L e tf(x)=x^3-(3x^2)/2+x+1/4 Then the...

`L e tf(x)=x^3-(3x^2)/2+x+1/4` Then the value of `(int_(1/4)^(3/4)f(f(x))dx)^(-1)` is____

Text Solution

AI Generated Solution

Topper's Solved these Questions

INEQUALITIES INVOLVING MEANS
CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
INTRODUCTION TO VECTORS
CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-pi//4)^(pi//4)(e^(x)sec^(2)x)/(e^(2x)-1)dx , is

int1/(x^2(x^4+1)^(3/4))dx

int1/(x^2(x^4+1)^(3/4)) dx

Let y=f(x)=4x^(3)+2x-6 , then the value of int_(0)^(2)f(x)dx+int_(0)^(30)f^(-1)(y)dy is equal to _________.

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

If x^(f(x))=e^(x-f(x)) , then the value of integral int_(1)^(2)f'(x){(1+logx)^(2)}dx+1 is

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

If f'(x) = 1/x + x^2 and f(1)=4/3 then find the value of f(x)

If f(x) satisfies f(x)+f(3-x)=3 AA x in R , then the value of integral I=int_((3)/(4))^((9)/(4))f(x)dx is equal to

If f(x) is a continuous function satisfying f(x)=f(2-x) , then the value of the integral I=int_(-3)^(3)f(1+x)ln ((2+x)/(2-x))dx is equal to

CENGAGE ENGLISH-INTEGRALS-All Questions

Let f:[0,oo) to R be a continuous strictly increasing function, such t...
Text Solution
|
A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint0...
Text Solution
|
L e tf(x)=x^3-(3x^2)/2+x+1/4 Then the value of (int(1/4)^(3/4)f(f(x...
Text Solution
|
Consider the polynomial f(x)=a x^2+b x+cdot If f(0)=0,f(2)=2, then the...
Text Solution
|
Column I, Column II If f(x) is an integrable function for x in [pi/...
Text Solution
|
STATEMENT 1: If f(x) is continuous on [a , b] , then there exists a po...
Text Solution
|
The value of the definite integral, int0^(pi/2) (sin5x)/sinx dx is
Text Solution
|
The value of int0^pi (sin(n+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >...
Text Solution
|
IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...
Text Solution
|
If In=int0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ...
Text Solution
|
int0^1(tan^(-1)x)/x dx is equals to (a) int0^(pi/2)(sinx)/x dx (b)...
Text Solution
|
If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...
Text Solution
|
L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0^1(x^2dx)/(e^(x^3)(2-x^3))dot ...
Text Solution
|
int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...
Text Solution
|
Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...
Text Solution
|
The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...
Text Solution
|
IfIn=int0^pie^x(sin"x")^("n")dx ,t h e n(I3)/(I1)"is equal to" 3/5 ...
Text Solution
|
int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...
Text Solution
|
For any real number x, let [x] denote the largest integer less than or...
Text Solution
|
evaluate: int0^(pi/4)2tan^3xdx is
Text Solution
|