`IfI_n=int_0^1(1-x^5)^n dx ,t h e n(55)/7(I_(10))/(I_(11))i se q u a lto___`

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

IfI_(n)=int_(0)^( pi)e^(x)(sin x)^(n)dx,then(I_(3))/(I_(1)) is equal to (3)/(5)(b)(1)/(5)(c)1(d)(2)/(5)

If I_(n)=int_(0)^(pi//4)tan^(n)x dx, then 7(I_(6)+I_(8))=

If I_(n)=int(ln x)^(n)dx then I_(n)+nI_(n-1)

L e tI_1=thetaint_0^1(e^xdx)/(1+x)a n dI_2thetaint_0^1(x^2dx)/(e^x^3(2-x^3))dott e h n(I_1)/(I_2)i se q u a lto 3/e (b) e/3 (c) 3e (d) 1/(3e)

If I_(n)=int x^(n)e^(x)dx, then I_(5)+5I_(4)=

If I_(n)=int_(0)^((pi)/(4))sec^(n)dx then I_(10)-(8)/(9)I_(8)=

If I_(n)=int_(1)^(e)(log x)^(n) d x, then I_(n)+nI_(n-1) equal to

If I_(n)=int_(1)^(e)(log x)^(n)dx then I_(8)+8I_(7)=