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Please Help!!!

To compute the Riemann integral of f:[0,1]->R givenf(x)=x^kwhere k>1 is an integer

1. Let m>2 and defineq_m= m^(-1/m)Let P_m be the partition of [0,1] given byP_m=(0< q_m^m < q_m^(m-1)< ...< q_m <1)

Explicitly evalute L(f,P_m) and U(f,P_m)

2. Show that lim n->inf. L(f,P_m)= 1/(k+1),and lim n->inf. U(f,P_m)= 1/(k+1)

3. Show that f is integrable on [0,1]

4. Show that integra[0,1] f(x) dx= 1/(k+1)

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# Homework Help: Please Help Riemann

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