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1)

Let  In=tannxdx(n>1),If   I4+I6=atan5x+bx5+C,   , where C is a constant of integration, then  orderd pair (a,b) is equal to


A) (15,1)

B) (15,0)

C) (15,1)

D) (15,0)

Answer:

Option B

Explanation:

We have, In=tannxdx

In+In+2=tannxdx+tannxdx

=tannx(1+tan2x)dx

=tannxsec2xdx

=tann+1xn+1+C

    Put n=4, we get   I4+I6=tan5x5+C

  a=15 and b=0