Suppose for every integer n, . underset(...

Suppose for every integer `n, . underset(n)overset(n+1)intf(x)dx = n^(2)`. The value of `underset(-2)overset(4)intf(x)dx` is :

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DEFINITE INTEGRALS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos
DEFINITE INTEGRALS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos
DEFINITE INTEGRALS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos
CONTINUITY AND DIFFERENTIABILITY
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos
DERIVATIVE AS A RATE MEASURER
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of integral underset(2)overset(4)int(dx)/(x) is :-

Suppose for every integer n, .int_(n)^(n+1) f(x)dx = n^(2) . The value of int_(-2)^(4) f(x)dx is :

The integral underset(1)overset(5)int x^(2)dx is equal to

If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(x))dx=7 , then the value of overset(-1)underset(2)int f(x)dx , is

Given overset(2)underset(1)inte^(x^(2))dx=a , the value of overset(e^(4))underset(e )int sqrt(log_(e )x)dx , is

The value of the integral underset(0)overset(1)int cot^(-1) (1-x+x^(2))dx , is

underset(r=0)overset(n)(sum)sin^(2)""(rpi)/(n) is equal to

The value of (.^(n)C_(0))/(n)+(.^(n)C_(1))/(n+1)+(.^(n)C_(2))/(n+2)+"..."+(.^(n)C_(n))/(2n) (a) underset(0)overset(1)intx^(n-1)(1+x)^(n)dx (b) underset(1)overset(2)intx^(n)(x-1)^(n-1)dx (c) underset(1)overset(2)int(1+x)^(n)dx (d) underset(0)overset(1)int(1-x)^(n)x^(n-1)dx

Let overset(a)underset(0)int f(x)dx=lambda and overset(a)underset(0)int f(2a-x)dx=mu . Then, overset(2a)underset(0)int f(x) dx equal to

If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007! , then value of n is

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise

Given that, F(x)=(1)/(x^(2))int(4)^(x)(4t^(2)-2F'(t))dt, find F'(4).
Text Solution
|
It is known that f(x) is an odd function in the interval [p/2, p/2] an...
Text Solution
|
Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...
Text Solution
|
int(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to
Text Solution
|
The value of int(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is
Text Solution
|
The value of int(-1)^(1)(x|x|)dx is equal to
Text Solution
|
int0^3 |x^(3)+x^(2)+3x|dx is equal to
Text Solution
|
Evaluate: int(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx
Text Solution
|
Evaluate: int(-pi/2)^(pi/2)log{(a x^2+b x+c)/(a x^2-b x+c)(a+b)|sinx|}...
Text Solution
|
For any natural number n, the value of the integral int(0)^(sqrt(n))...
Text Solution
|
For any n in R^(+), the value of the integral int(0)^(n[x]) (x-[x])d...
Text Solution
|
Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin (x^3)dx=F(...
Text Solution
|
The equation int(-pi//4)^(pi//4) {a|sin x|+(b sin x)/(1+cos x)+c}dx=...
Text Solution
|
Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...
Text Solution
|
The value of int(alpha)^(beta) x|x|dx, where a lt 0 lt beta, is
Text Solution
|
int(-pi//2)^(pi//2) (|x|)/(8 cos^(2)2x+1)dxhas the value
Text Solution
|
If [.] denotes the greatest integer function and f(x)={:{(3(x)-(5|x|...
Text Solution
|
Find the value of int(-1)^(1)[x^(2)+{x}]dx, where [.] and {.} denote t...
Text Solution
|
The value of int(-1)^(1)sin^(-1)[x^(2)+(1)/(2)]dx+int(-1)^(1) cos^(-...
Text Solution
|
Let Delta(y)=|{:(y+a,y+b,y+a-c),(y+b,y+c,y-1),(y+c,y+d,y-b+d):}| and,...
Text Solution
|