Let `I=int_0^n[x]dx,n > 0,` where [ ] is G.I.F.,

Evaluate int_(0)^(n)(x-[x])dx, n in N , where [ ] denotes the GIF

The value of int_0^5([x]+|x-2|)dx , where [.] represents G.I.F. is

The value of int_(0)^(2)[x]*x^(2)dx is (where [*]rarr G.I.F)

The value of int_(0)^(2)[x]*x^(2)dx is (where [*]rarr G.I.F

Let I_1=int_0^n[x]dx" and I_2=int_0^n{x}dx , where [x] and {x} are integral and fractional parts of x and nne N-{1} . Then (I_1)/(I_2) is equal to

Let I_(n) = int_(0)^(1) (logx)^(n)dx , where n is a non-negative integer. Then I_(2001) - 2011 I_(2010) is equal to -

Evaluate int_(0)^(2pi) [ sin x + cos x] dx where [ ] denotes the G.I.F.

Let I_(n)=int_(0)^(pi//2)x^(n)cosxdx, where in is a non-negative integer Then sum_(n=2)^(oo)((I_(n))/(n!)+(I_(n-2))/((n-2)!)) equals-

Let f(x) is a continuous function symmetric about the lines x=1a n dx=2. If int_0^(2)f(x)dx=3 and int_0^(50)f(x)=I , then [sqrt(I)] is equal to (where [.] is G.I.F.) (a) 5 (b) 8 (c) 7 (d) 6

Let f(x) is a continuous function symmetric about the lines x=1a n dx=2. If int_0^(2)f(x)dx=3 and int_0^(50)f(x)=I , then [sqrt(I)] is equal to (where [.] is G.I.F.) (a)5 (b) 8 (c) 7 (d) 6