11) Evaluate the following integral. The letter H represents a constant. H (3x-4)²3 dx 0

.0 dx Evaluate - (1- 2x)2 1 2 O-1 2

Evaluate the following integral. dr 3x2 – 12x + 36°

← 1. Find the indefinite integral of each of the following: a. fx sin2x dx x² sin 2xdx d. [xc g. ²2te-2tdt a. j. g. S 2. Find the indefinite integral of each of the following: Se5x dx b. [ sin4xdx 3x² d. ſ. dx x³ X +5 XCOS xdx e√x dx √x (e*+1)7e* dx a. d. S a. b. m. By using the substitution t= x−1, find n. By using the substitution x= 3sint, find X+3 (x+1)(x+2) x³ x+3x+2 3. Find the integral of each of the following: X-9 2x²-3x+1 dx dt ICON 2202 b. = kx = e. fx lnx dx 6xt² C e. dx ||| h. [x²√x³ +2dx k. [xcos(x² + 1) dx COS X dx 1+ sin x dx b. S e. 2x² +7x+7 X+2 a O X-2 (x-1)² 1 9-² dx dx c. S f. ²te²t dt C. [3cos 3xdx 1 f. S dx xln x dx % 3x² (x³ 3 +10) ³ I. [ e3cos2x sin 2xdx .dx. C. 4. Find the general solution of the following differential equation: dx dt f. xe Xdx S x² +3 x² + 3x 2 X X-1 2 4x². < + X dx -dx dx Page 1

Determine the value of the following definite integral. 15x+20x³ dr R 3²+32 Leave your answer in exact form, for example: 3 (In 6 - In 4).

Evaluate the definite integral. (Use symbolic notation and fractions where needed.) dx 5х

Write it out

00 In x dx x4 J1

Evaluate the following integrals: dx dx a. S b. ·S √81+16x² √16x²-9 dx C. c. √ 49 - 4x² S-