1. Evaluate the integral S77® (sins 2x)(cos 2x) dx by substitutior method.
Evaluate the integral 5*7* (sins 2x)(cos 2x) dx by substitution method.
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
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 =
5. (4pts each)Evaluate the following integrals. s sins (1) cos (1) dx a. dx b. sz * (ln(x))?
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)
Use symmetry to evaluate the following integral. /2 (cos 2x + cosxsin x - 2 sinxº) dx -1/2 1/2 (cos 2x + cos x sinx-2 sin x) dx = (Simplify your answer.) -1/2
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
11. (10 pts) Evaluate the following integral. 1 L.(2x+ dx (2x - 1)
need only the answer Evaluate the integral by using multiple substitutions. dx 313x2 – 2) sin(x3 2x) cos(x3 - 2x) O 2 sin(x3 - 2x) + C 15 sin4 (x3 - 2x) + c o cos6 (3x2)+C o į sin® (x3 - 2x)+ c