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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 =
Evaluate the following integral. cos 4x dx 11 - sinx S 5л cos 4x dx = S 1 - sin x 51 6 (Type an exact answer.)
EXAMPLE 4 X dx Solve the integral 6
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 a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)
25 2 6 Evaluate the integral S SS 3 cos (x2) -dx dy dz by changing the order of integration in an appropriate way. 417 o o Зу
4) Solve the equation on the interval [0, 21) sin? 0 – cosa 0 + cos 0 = 0 A) O B) C) E) 57 6 ki so jo El / 5/69 F) 71 77 6 G) 117 6 47T H)
(3) Evaluate the indefinite integral. ſtan(x) + cos2 (2) dx cos(2)
Given that cosa = 2 3 and 0 <a<3 determine the exact value of cosa COS SED (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)
Solve the following Gaussian Integral 2 Ser² dx