For every integer n, int(n)^(n+1)f(x)dx=...

For every integer `n, int_(n)^(n+1)f(x)dx=n^(2)`,
then the value of `int_(0)^(5)f(x)dx=`

A

(a) `20`

B

(b) `25`

C

(c) `30`

D

(d) `35`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Recommended Questions

For every integer n, int(n)^(n+1)f(x)dx=n^(2), then the value of int(...
Text Solution
|
If f(x)={0 ,where x=n/(n+1),n=1,2,3.... and 1 else where then the va...
Text Solution
|
int(n)^(n+1)f(x)dx=n^(2)+n then int(-1)^(1)f(x)dx=
Text Solution
|
If f(x)={0, where x=(n)/(n+1),n=1,2,3... and 1, else where ,then the v...
Text Solution
|
int(0)^(a)f(2a-x)dx=m and int(0)^(a)f(x)dx=n then int(0)^(2a)f(x)dx is...
Text Solution
|
If f(n)=(int0^n[x]dx)/(int0^n{x}dx)(where,[*] and {*} denotes greatest...
Text Solution
|
If f(a+x)=f(x), then prove that int(a)^(na)f(x)dx=(n-1)int(0)^(a)f(x)d...
Text Solution
|
Suppose for every integer n, .int(n)^(n+1) f(x)dx = n^(2). The value o...
Text Solution
|
Statement-1: int(0)^(npi+v)|sin x|dx=2n+1-cos v where n in N and 0 le ...
Text Solution
|