2. Find ((2 + 2x + 3x)dx using the definition of the integral (limit of the Riemann 12+2x+33 Sum)
11. (4pts) Use the LIMIT DEFINITION of the integral to evaluate the following integrals. No Credit will be awarded for solutions obtained by using the Fundamental Theorem of Calculus. [ (2-x²)dx
2. a) Find an approximation to the integral (%(x2 - 4x) dx using a Riemann sum with right endpoints and n=4. b-a and x,-a +Ax. Use this to b) Using the definition ()dx = lim Žf(x7)Ar, where Ar = ? evaluate 1, (x2 - 4x) dx
(a) Write s} (x2 – 3x)dx as a limit of a Riemann sums. (b) Evaluate this limit exactly using sum properties: n(n+1) and n(n + 1)(2n + 1) 6 2 (c) Use the Fundamental Theorem of Calculus to confirm the result in (b)
Use the form of the definition of the integral given in the theorem to evaluate the integral. | Previous Answers SCalcET8 5.2.026. Ask Your Teacher 6. 2/4 points My Notes (a) Find an approximation to the integral (x24x) dx using a Riemann sum with right endpoints andn 8. R8 -10.5 n lim> 'f(x;) Ax, where Ax = -and x a + i Ax. Use this to evaluate (b) If f is integrable on [a, b], then f(x) dx (x2-4x) dx...
help please Evaluate the definite integral using the Fundamental Theorem of Calculus. (1+ (1 + 14х5) dx Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite integral. fo* (2 + 14x5) dx = = (x+3x0916 (1+](O* )-( O*+O) “) 10 3
following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found , 6-3. 1/2 1/2 Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the integrand and shade the region whose net area you have found. 2x-3)dx = following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found...
solve 1 and 2. Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B) cos (x3) A) 6x5 cos (x3) Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B)...
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) 0 (x^2+2x-5) dx x+b-a/n= xi=a+Ix= (b) 1 x^3 dx x=b-a/n= xi=a+Ix= We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 1 2 3 dx 1 2 3 dx √1-x² (Type an exact answer.) S 11