Home
Class 12
MATHS
If linear function f(x) and g(x) satisfy...

If linear function `f(x)` and `g(x)` satisfy `int[(3x-1)cosx+(1-2x)sinx]dx=f(x)cos x + g(x) sin x+C`, then

A

f(x)=3(x-1)

B

f(x)=3x-5

C

g(x)=3(x-1)

D

g(x)=3+x

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)sinx]dx = f(x) cos + g(x) sin x + C , then

If int cosex 2x dx = f(g(x)) + c , then

int (cos x - sin x)/(cosx + sinx) (2+2 sin 2x) dx =

If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =

If g is the inverse function of f and f'(x) = sin x then g'(x) =

inte^(x)[(sinx+cosx)/(1-sin^(2)x)]dx is

If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x) and g(x) + g(a - x) = a , then int_0^a f(x). g(x) dx is equal to :

int sinx/(cos x (1+cos x)) dx = f(x) + c implies f(x) =

int f(x) dx = g(x) , then int f(x)g(x) dx =