If int(0)^(a)(g(x))/(f(x)+f(a-x))dx=0, t...

If `int_(0)^(a)(g(x))/(f(x)+f(a-x))dx=0`, then

A

g (x) is odd

B

`f(x)=f(a-x)`

C

`g(x)=-g(a-x)`

D

`f(a-x)=g(x)`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos
INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
DIFFERENTIATION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
INTEGRATION - INDEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(a)(f(x))/(f(x)+f(a-x))dx=

int_(0)^(a)f(x)dx

The integral int_(0)^(a) (g(x))/(f(x)+f(a-x))dx vanishes, if

int_(0)^(a)f(x)dx=

int_(0)^(a) (f(a+x) + f(a-x) ) dx =

int_(0)^(a)[f(x)+f(a-x)]dx=

If int_(0)^(2a) f(x)dx=int_(0)^(2a) f(x)dx , then

If : int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx , then :

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)

int(-pi//2)^(pi//2)(1)/(1+e^(sin x))dx=
Text Solution
|
The value of the definite integral int0^1(1/(x^2+2xcosalpha+1))dx for ...
Text Solution
|
If int(0)^(a)(g(x))/(f(x)+f(a-x))dx=0, then
Text Solution
|
int(1)^(e )x^(x)dx+ int(1)^(e )x^(x)log x dx=
Text Solution
|
If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...
Text Solution
|
int(-10)^(10)log((a+x)/(a-x))dx=
Text Solution
|
int(0)^(1)(dx)/([ax+(1-x)b]^(2))=
Text Solution
|
If int(0)^(1)(dx)/((1+x)sqrt(1-x^(2)))=(a)/(b), then
Text Solution
|
int(2)^(3)f(5-x)dx-int(2)^(3)f(x)dx=
Text Solution
|
If I(1)=int(a)^(1-a)x.e^(x(1-x))dx and I(2)=int(a)^(1-a)e^(x(1-x))dx...
Text Solution
|
int(0)^(pi//4)(cos^(2)x-cos^(4)x)dx
Text Solution
|
int(0)^(1){sin^(-1)x+cos^(-1)(1-x)}dx=
Text Solution
|
int(0)^(pi//2){(d^(2))/(dx^(2))(sin x)}dx=
Text Solution
|
int(-1)^(1)(e^(x)-e^(-x))dx=
Text Solution
|
int(-pi)^(pi)sin^(2)x.cos^(2)x dx=
Text Solution
|
inta^b(logx)/x\ dx=1/2log(a b)\ log(b/a)
Text Solution
|
int(0)^(pi//2)sin x.sin 2x dx=
Text Solution
|
int(0)^(pi//2)(dx)/(2+cos x)=
Text Solution
|
int(0)^(a)(x)/(sqrt(a^(2)+x^(2)))dx
Text Solution
|
int(0)^(pi//2)(cos x)/(1+sin x + cos x)dx=
Text Solution
|