Evaluate the integral 5*7* (sins 2x)(cos 2x) dx by substitution method.
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Evaluate the integral: ∫ sin5 2x cos 2x dx
Evaluate the Maclaurin series representing the integral.
0.1 0 )-1 cos 2x dx
0.1 0 )-1 cos 2x dx
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.
find the indefinite integral and check the result by
differentiation
Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx
Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
1. Evaluate the integral S77® (sins 2x)(cos 2x) dx by substitutior method.
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 =
W60. Compute (sin x + cos x)(4 – 2 sin 2x – sin? 2x)e" dx sin 2x where = 6 (0,7) Mihály Be Pirkulyiev Rovsen W38. Let (an)n be a sequence, given by the recurrence: man+1 + (m - 2) an an-1 = 0 where me R is a parameter and the first two terms of (an), are fixed known real numbers. Find me R, so that lim an = 0 n-00 Tad