Activity 1: Try to find the derivatives of the following functions before we continue. a. F(x) = x3+2x2+ x b. F(x) = x3+x2+ x C. F(x) = 3x3 +3x -1 d. F(x) = 2x3 - 3x2 + 1 e. F(x) = 5x2 - 2x - 3\fActivity 3: 1. fx'dx 6. [ tan x dx 2. SV xz dx 7. S(1 - cosu) du 3. S(x3+x2) dx 8. J cot2 x dx 4. SV x4dx 9. [ 3x-'dx 5. Jx-2dx 10. J 2(5*) dx A. Assimilation (Time Frame: 10 minutes Since we already presented J sin x dx and f cosx dx, we can now do the following: 1. Stanx dx = 2. [ cot x dx = 3. f secx dx = 4. [ csc x dx = We will take more integrals yielding the exponential and logarithmic functions since we discussed integration by substitution. Let's try to evaluate the following: 5. Sex dx = 6. [ 24* dx = 7. Sadx = Let's also find the antiderivatives of the following: 8. S(13x2 + 3x) dx = 9. fx5dx = +1 dx = 10. S V. ASSESSMENT (Time Frame: (Learning Activity Sheets for Enrichment, Remediation, or Assessment to be given on Weeks 3 and 6) Determine the following antiderivatives of the following: 1. SVxdx 6. 1 -dx 2. S(u' + u + 1) du 7. [ 5x 1 dx 3. -v+ +v2 + v)du 8. S(2ex + 7*)dx 4. (wit witw dw 9. J- sec y tan y dy 5. [1000dx 10. J- 1 dx