Functions from derivatives? Find the function with following properties. h?(x) = sin xand h(1) = 1 (Hint: sin x =2 1?cos 2) 2

Solution Step 1 In this problem we have to find the original function from its derivative and the initial condition. 2 Given : hx) = sin xand h(1) = 1 We have to find h(x) 2 To find h(x)we need to find the antiderivative(that is., integral) of h(x) = in xand then we use the initial condition h(1) = 1