all of tem (e) sin(30) + cos(20) do 1. Evaluate the indefinite integral. (a) [8x2 –...
Evaluate the indefinite integral. (Use C for the constant of integration.) (3 - 4x) dx fo Need Help? Read It Watch It Talk to a Tutor 8. [-/1 Points] DETAILS SCALCET8 5.5.010. Evaluate the indefinite integral. (Use C for the constant of integration.) I since sin(t)/1 + cos(t) dt Need Help? Read Talk to Tutor 9. [-/1 Points) DETAILS SCALCET8 5.5.013.MI. Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx...
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 the double integral f(r, ) dA. 7/6 2 p2 sin(O) cos(O) dr do Jo Jo Enter a fraction, integer or exact decimal. Do not approximate.
1. Evaluate the following indefinite integral using the given trigonometric substitutions, = sin e V1 - 22 = cose U
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
1. Use integration by parts to evaluate the integral: ∫ 6z cos(5z) dz Use integration by parts to evaluate the definite integral. 5t2 In tdt Use integration by parts to evaluate the definite integral: 5se3ds J0.2 Preview Report answer accurate to 3 decimal places. A particle that moves along a straight line has velocity v(t)e3 meters per second after t seconds. How many meters will it travel during the first t seconds (from time-0 to time-t)? 2-3t Evaluate the indefinite...
Find the general indefinite integral. 15. 14 1 - sint -dt sint Answer sin 2.c 16. dc sin 3
EXAMPLE 2 Find sin$(7x) cos”7x) dx. SOLUTION We could convert cos?(7x) to 1 - sin?(7x), but we would be left with an expression in terms of sin(7x) with no extra cos(7x) factor. Instead, we separate a single sine factor and rewrite the remaining sin" (7x) factor in terms of cos(7x): sin'(7x) cos”(7x) = (sinº(7x))2 cos(7x) sin(7x) = (1 - Cos?(7x))2 cos?(7x) sin(7x). in (7x) cos?(7x) and ich is which? Substituting u = cos(7x), we have du = -sin (3x) X...
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
please complete all parts Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think Fourier series.) (cos(nt) - 2sin(5rt)e-Jr dt XCj) (b) (5 points) Find the Fourier transform io of the following signal: 2(t) = sin(4t)sin(30) (c) (5 points) Solve the integral: sin(2t) 4t dt (d) (5 points) Use Parseval's theorem and your Fourier transform table to compute this integral: Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think...