Question

Evaluate each integral using the definition of the definite integral with right endpoints and taking the limit. (Note: You need to write out the Riemann sum and use the summation formulas.)

(a) _{$\int ^{3}$ 0 (x^2+2x-5) dx}

$\Delta$x+b-a/n=

xi=a+I$\Delta$​​​​​​​x=

(b) $\int ^5$ 1 x^3 dx

$\Delta$​​​​​​​x=b-a/n=

xi=a+I$\Delta$​​​​​​​x=

Answer 1

a> | 62422-5) do using right end points Roimann sum Inrepoole dn I flows ba a-0 b=3 Take n = 2 (wettergle] ;003] [3] = -0.25 f134) = f (3/4) - * f(xs) = f(b) = f(3) = 10 I fender 3 [ 0.25+10) 15.375 x3 dn 5:5 20 Take m= 20 rectangles for bote accuracy sx-5-6). [?]'{; }), (3,5) f(0) = polices gada [ 1.728 + 2-744 +- 168.64 (for more accurate result ove Can increase n] PC 21) - f (675) = 1.728 |(255) = 125 125 호