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24) Evaluate ſtan 9x dx Click Selecri X o o o -(-) (In | cos 5x1)+c...
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 =
(3) Evaluate the indefinite integral. ſtan(x) + cos2 (2) dx cos(2)
13. Evaluate, S sin 5x cos x dx. Also prove that, 52" sin mx cos nx dx = 0 Using reduction formula *****
Using reduction formula *****
13. Evaluate, S sin 5x cos x dx. Also prove that, 53.4 sin mx cos nx dx = 0
Evaluate the following integrals.
S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
se of thelr connection with secant lines, tangents, and instantaneous rates, limits of the form with Because o 12-E occur frequently in calculus. Evaluate this limit for the given value of x and function f. 31) fx)-5x2-5,x A) -15 31) BDoes not exist Differentiate the function and find the slope of the tangent line at the given value of the in -10 D) 5 32) s--44-53, t-1 A)-1 D) 1 C) 31 B)-31 Find the indicated derivative. 33) 33) Find...
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 integral. (Use C for the constant of integration.) (4² + 5x) cos(x) dx Show My Work (Required)
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...
QUESTION 17 Find the integral. - sin x cos xdx - sinox +C 6 - sinx 5 + sin 5x 5 +C sinx -C