Solve
Guides
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Standard XII
Mathematics
Question

∫f(x)g′(x)−f′(x)g(x)f(x)g(x)[Log(g(x))−Log(f(x))]dx=
  1. Log(g(x)f(x))+C
  2. 12∣∣Log(g(x)f(x))∣∣2+C
  3. (g)xf(x)Log(g(x)f(x))+C
  4. Log[g(x)f(x)]−g(x)f(x)+C

A
Log(g(x)f(x))+C
B
12∣∣Log(g(x)f(x))∣∣2+C
C
Log[g(x)f(x)]−g(x)f(x)+C
D
(g)xf(x)Log(g(x)f(x))+C
Open in App
Solution
Verified by Toppr

Was this answer helpful?
0
Similar Questions
Q1
Let ∫f′(x)g(x)−g′(x)f(x)(f(x)+g(x))√f(x)g(x)−g2(x)dx=√mtan−1(√f(x)−g(x)ng(x))+C
where m,nϵN and ′C′ is constant of integration (g(x)>0). Find the value of (m2+n2).
View Solution
Q2
Let ∫f′(x)g(x)−g′(x)f(x)(f(x)+g(x))√f(x)g(x)−g2(x)dx=√mtan−1(√f(x)−g(x)ng(x))+C,
where m,n∈N and 'C' is constant of integration (g(x) > 0). Find the value of (m2+n2).
View Solution
Q3
∫[f(x)g′(x)+g(x)f′(x)]f(x).g(x)[log f(x)+log g(x)] dx is equal to
View Solution
Q4
Find fog and gof if
(i) fx=ex, gx=loge x
(ii) fx=x2, gx=cos x
(iii) fx=|x|, g (x)=sin x
(iv) fx=x+1, gx=ex
(v) fx=sin-1 x, gx=x2
(vi) fx=x+1, gx=sin x
(vii) fx=x+1, gx=2x+3
(viii) fx=c, c ∈ R, gx=sin x2
(ix) fx=x2+2, gx=1-11-x
View Solution
Q5
Let ∫f′(x)g(x)−g′(x)f(x)(f(x)+g(x))√f(x)g(x)−(g(x))2dx=√mtan−1(√f(x)−g(x)ng(x))+C, where m,n∈N, C is constant of integration and g(x)>0.. Then the value of (m2+n2) is
View Solution