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14_2 Evaluate the integral: la dar 100 - 22 (A) Which trig substitution is correct for this integral? Or = 100 tan(0) OI= 100 sin(0) On = 100 sec(0) Or = 10 sin(0) DE 10 sec) 10 tan(0) -) От 10] D) 0) 10) 10) DO (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter , type the word theta. de n Preview (C) What is the value of the above integral in terms...
QUESTION 5 The integral I= % dar +4 is to be approximated numerically. (a) Find the least integer M and the appropriate step size h so that the global error for the composite (10) Trapezoidal rule, given by As"(), a<<<0, 12 is less than 10-5 for the approximation of I. (b) Use the two-term Gaussian quadrature formula and 6 decimal place arithmetic to approximate I. (Hint: Parameters are c = 1, i = 1,2; = 0.5773502692, r2 = -0.5773502692) (9)...
Evaluate the integral. (Hint: Substitution Rule] ſ(27 (2.c + 3) (2.2 +6x + 1)dx
The graph of f is shown for parts a, b, and c. Evaluate each integral by interpreting it as a net area. 1 0 0 11 (a) o )da (b) 3f()dar (c) 4 -4f()dr Be careful with negative signs for this one! (d) Express the following limit as a definite integral on the interval [3, 8. (Do not evaluate) iin (e) Express the integral as a limit of Riemann sums (using right endpoints). (Do not evaluate
The graph of f...
6. Find the value of each definite integral. (a) 6a +5 dar
6. Find the value of each definite integral. (a) 6a +5 dar
6. Evaluate each of the following integrals: 2² - x+3 (a) dar (x + 1)(x2 + 4) So
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#3 #4 please snf thank you :)
Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc
Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc
dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4.
dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4.
(a) Use the obvious identity i-re-u to evaluate the integral sin dr. (b) Use the double angle formula and integrate by parts to evaluate the integral in da (c) Prove that both of these integrals converge as improper Riemann integrals (albeit for different reasons). (d) Use scaling to evaluate the integral r.sinatz dr dar for tE R.
(a) Use the obvious identity i-re-u to evaluate the integral sin dr.
(b) Use the double angle formula and integrate by parts to...
3. Evaluate |F.dr w tine integral is independent of path. Compute F-dr and C is the ellipse given with the counter clockwise rotation Answer by 7-6--4 4 Evaluate vf-dr where (x.y)-d C is the curve shown below. Answer. |vf.dr=-4
3. Evaluate |F.dr w tine integral is independent of path. Compute F-dr and C is the ellipse given with the counter clockwise rotation Answer by 7-6--4 4 Evaluate vf-dr where (x.y)-d C is the curve shown below. Answer. |vf.dr=-4