1. Evaluate the integral using FTC. -1/2 (a) d. d. (b) 5°2+ (c) [(4-2)(1 – 4)...
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)...
cos((+dt. (5 pts.) 1 3. Evaluate the integral 8(t)dt. (5 pts.) 4. Evaluate the sum Σ 23]n]. (4 pts.) 2 +2 +2 + 2+2 4 2
Evaluate the integral. dt 11 (1+) 5:2 (1+)? dt =D
1. (1 point) Evaluate the integral using the FTC 1 Answer(s) submitted: (incorrect) 2. (1 point) Calculate the derivative: Answer(s) submitted. (incorrect) 3. (1 point) Find area of the region u 3x3-5 and above the x-axis, for 2 nder the curve y 4. x area Answerfs) submitted: incorrect) 4. (1 point) The value of (x+5)2dx is 0. Answerts) submitted (incorrect) 5. (1 point) The value of ^ ^dx i Answerts) submitted: (incorrect) 6. (1 point) Evaluate the definite integral (16-x*)dx...
5. Evaluate each definite integral. 5.2 dx 2.22 [5] /2 [5] (b) [ COS C sin? C dx 1/4
4) (25 pts) Evaluate the integral d: +5 Using the following methods: a) Analytically b) Trapezoidal rule. Divide the whole interval into four subintervals (n 4) c) Simpson's 1/3 rule. Divide the whole interval into four subintervals (n 4). d) Simpson's 3/8 rule. Divide the whole interval into three subintervals (n 3) Compare the results in b), c), and d) with the true value obtained in a). 4) (25 pts) Evaluate the integral d: +5 Using the following methods: a)...
Evaluate a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)
Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral
2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric substitution to conclude that Evaluate 1- x2 dx by using the FTC and then verify your answer by interpreting the integral as the area of a familar shape. 2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric...
Just (d) 1-26. Evaluate the following integrals. .10 (a) | cos 2nt δ(1-2) dt (b) | cos 2nt δ(1-2) dt (c) | cos 2nt δ(t-0.5) dt (d) (t 2)82) dt (e)S 2) dr Al