
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 =
4
(4) Evaluate S 3x²(2x°-3) dx.
f(x)=3x^2-2x+1, evaluate f(-1)
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
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Evaluate the integral. 2 (2x + 2)dx 3 2 Sizx+2)dx= (2x + 2)dx = (Simplify your answer.) 3
(a) Evaluate the integral ſ V1 + 2x dx. 0 1 (b) If f()dx 5 and ) FCD)dz – 3. find i f(z)dr.
2. Evaluate the following integrals. C)
„4_„3+3x²-x-1 dx r 2.4–m³+3x²-T-1 dx (x-3)(x²+2)
1 (2 points) Evaluate 3f(x) + 2x dx if f(x) dx = 2. (a) -24 (b)-30 (c) -18 d) 18 (e) none of these
3) Evaluate each indefinite integral. 015(6x?- 2e +2+5)dx bg(Vx-+ 3)dx