1.) Find the definite integrals a.) sdx b.) S dx x2-4x+9 c.) ſ 4arccos xdx d.) Se-3x sin 5xdx e.) S In(4 + x2)dx f.) s cosst dt sin t g.) St tan 5 2xsec 4 2xdx h.) ſ sin(-4x)cos3xdx
b. 2. (12 pts.) Find the exact value. sin(1659) c. sin(52.5°) sin(7.5°) tan(159) 1 - tan2(15°) a.
Verify that tan(2θ) = 2 tan(θ) 1/tan2 (θ)
solve the equation on the interval [0,360) 3) 4 tan2 + 7 tan 0 - 2 = 0 4) 3 sin2 x + sin x = 0
Evaluate the integral. tan 5x sec25x dx al ſ tan 5x sec ?5x dx = 0 TEL
evaluate the integrals 4. I secer x tan xdx (Hint: Let u = sec x.
11) Find ? sin2 x cos2 xdx. 11) Find S sin? x cosa xdx.
tan2 a then find the minimum value of Vx2 Ifαε 3. 0, X 2 tan2 a then find the minimum value of Vx2 Ifαε 3. 0, X 2
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Use trig identities to rewrite the integral then integrate. 1. 2. 3. 4. 5. 6. tan(r)dr tan(r)dr (sinz + sinz + tan2)/sec2rda Sin.TS2nT (sin(2x)/cosrdr (sin(2))/1+cos2rda (cos(x) + sin(2))/sinrdr tan(r)dr tan(r)dr (sinz + sinz + tan2)/sec2rda Sin.TS2nT (sin(2x)/cosrdr (sin(2))/1+cos2rda (cos(x) + sin(2))/sinrdr