\section*Mixed Practice Problems (Answers only)
= (2/π) ∫₀^(π/2) sin x dx = 2/π.
∫₀² floor(x) dx.
Show π/6 ≤ ∫₀^(π/2) sin x / (1+x²) dx ≤ π/2. riemann integral problems and solutions pdf
\beginenumerate[label=\arabic*.] \item (\int_0^1 (3x^2-2x+1)dx = 1) \item (\int_1^e \frac1xdx = 1) \item (\int_0^\pi/2 \sin 2x,dx = 1) \item (\int_0^4 |x-2|dx = 4) \item (\lim_n\to\infty \sum_k=1^n \fracnn^2+k^2 = \frac\pi4) \endenumerate riemann integral problems and solutions pdf
\subsection*Problem 1 Compute the Riemann sum for ( f(x) = x^2 ) on ([0,2]) using 4 subintervals and right endpoints. riemann integral problems and solutions pdf
\subsection*Problem 6 Find the average value of (f(x) = \cos x) on ([0,\pi]).