Evaluate : (a) `int_(u)^(upsilon)dv = int_(0)^(t)adt
(b)int_(0)^(s)ds=int_(0)^(t)udt+int_(0)^(t)adt
(c) int_(u)^(upsilong)udv=int_(0)^(s)ads`

int_(0)^(2)int_(0)^(x)int_(0)^(y)xydxdydz

int_(0)^(9)[sqrt(t)]dt

int_(0)^(1)t^(2)sqrt(1-t)*dt

int_(0)^(2 pi)[sin t]dt

int_(v_(0))^(0)(dv)/(sqrt(v))=-alpha int_(0)^(t)dt

Evaluate int_(0)^(oo)(dt)/(t)

If int_(0)^(y)cos t^(2)dt=int_(0)^(x^(2))(sin t)/(t)dt, then (dy)/(dx) is

int_(0)^(9)[sqrt(t)]dt .

int_(0)^(1)t^(5)*sqrt(1-t^(2))*dt

If int_(0)^(x){int_(0)^(u)f(t)dx}du is equal to (a)int_(0)^(x)(x-u)f(u)(b)int_(0)^(x)uf(x-u)du(c)x int_(0)^(x)f(u)du(d)x int_(0)^(x)uf(u-x)du