" If "I_(m)=int_(1)^(e)((nx)^(m)dx,m in N," then "I_(10)+10I_(9)" is equal to "

If I_(m)=int_(1)^(e)(ln x)^(m)dx,m in N, then I_(10)+10I_(9) is equal to (A) e^(10)(B)(e^(10))/(10)(C)e(D)e-1

If I_m=int_1^e (lnx)^m dx ,m in N , then I_(10)+10 I_9 is equal to (A) e^(10) (B) (e^(10))/(10) (C) e (D) e-1

If I_(n)=int_(0)^(pi) e^(x)(sinx)^(n)dx , then (I_(3))/(I_(1)) is equal to

If I_(n)=int_(0)^( pi)e^(x)(sin x)^(n)dx, then (I_(3))/(I_(1)) is equal to

If I_(n)=int_(0)^(pi) e^(x)sin^(n)x " dx then " (I_(3))/(I_(1)) is equal to

If I_(m)=int_(1)^(e)(logx)^(m)dx , show that, I_(m)+mI_(m-1)lt3 .

If I(m,n)=int_(0)^(1)x^(m-1)(1-x)^(n-1)dx, then

If I_(m,n)= int_(0)^(1) x^(m) (ln x)^(n) dx then I_(m,n) is also equal to