`int e^x{f(x)+f^'(x)}dx` is equal to :

if int g(x)dx=g(x), then int g(x){f(x)+f'(x)}dx is equal to

If f(6-x)=f(x), for all x, then 1/5 int_2^3 x[f(x)+f(x+1)]dx is equal to :

inte^(x)[f(x)+f'(x)]dx=

If f(x) = f(a+x) and int_(0)^(a) f(x) dx = k, "then" int _(0)^(na) f(x) dx is equal to

Let inte^(x){f(x)-f'(x)}dx=phi(x) . then, inte^(x)f(x)dx is equal to

If int f(x)dx=F(x), then int x^(3)f(x^(2))dx is equal to:

Let f (x) be a conitnuous function defined on [0,a] such that f(a-x)=f(x)"for all" x in [ 0,a] . If int_(0)^(a//2) f(x) dx=alpha, then int _(0)^(a) f(x) dx is equal to