Homework Statement
Convert the Riemann's Sum to an integral:
(1/50) * [(sqrt(1/50)) + (sqrt(2/50)) + (sqrt(3/50)) ... + (sqrt(50/50))]
Homework Equations
The Attempt at a Solution
(1/50) times Integral (upper limit 1 and lower limit 0) of sqrt(x) dx
Is my solution correct?
Homework Statement
Evaluate the integral (upper limit x^3 and lower limit x) sin (t^2) dt
Homework Equations
The Attempt at a Solution
I tried using the second fundamental theorem to do: 3x^2 sin (x^6) - sin (x^2). I'm not sure if this is right though.