Complata the following staps for the given function, interval, and value of n$.$

$1.$

$f(x)=\sqrt[\phantom{2}]{x}os[1,3]x=4$

Sictich the graph of the function on the given interval

b$.$ Calculate $x$ and the grid points $0,1,2$dots$n$

c$.$ Calculate the midpoint Reimann sum.

hangel

$mi{n}_a=1,2=1^x{x}_1^{2}20x_2^{\text{'}}{s}_1{p}_2\mathrm{.}4$

The inte spensed ne sation above, a ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$

$3.$ Complete the following steps for the given function, interval, and value of n $.$ paralion diveleflaw interget.

${\displaystyle \underset{0}{\overset{2}{}}}(a^2-2)dxs=4$

Utegeomety $($net Diemann suma$)$ to evaluate the following definite intryals. Sketch a gaph of the integand. ahow tha ragon in puation, and hetarpret your result.

${\displaystyle \underset{-1}{\overset{3}{}}}\sqrt[\phantom{2}]{4-(x-1{)}^2}dx$

Evaluate the following integrals waing the Fundamantal Theorem of Calculus, Slietch the graph of the integand and shade the region whase nat area you have found.

${\displaystyle \underset{\frac{1}{2}}{\overset{2}{}}}(1-\frac{1}{x^2})dx$

Evaluate the following integrsts waing the fundemental Theorem ef Calculus. "Give the solution in exact terms.

${\displaystyle \underset{0}{\overset{\frac{}{4}}{}}}secx(secxcosx)dx$

Usasymmeny ta evaluate the following integrals.

${\displaystyle \underset{-200}{\overset{200}{}}}2x^{9}dx$

Average elevation The elevation of a path is given by $f(x)=x^3-5x^{2}30,$ where $x$ measures horizontal distance. Draw a graph of the elevation function and find its average value. for $0x4.$

Complete the following steps for the given function, interval, and value of n $.$

$1.$

$f(x)=\sqrt[\phantom{2}]{x}cos[1,3]$;$n=4$

a$.$ Sioetch the graph of the function on the given interval

b$.$ Calculate $x$ and the grid points $x0,x1,x2$dotsxh

c$.$ Calculate the midpoint Reimann sum.

$2.$ himpic.

$\underset{a{x}_k}{lim}=1^n{x}_{i}tan{x}_{k}as{x}_i[2x]$

The inte expresued an a definite intogrs, is ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$