Problem 182E: Express the rational function as a sum or difference of two simpler rational expressions. 182.... Problem 183E: Express the rational function as a sum or difference of two simpler rational expressions. 183.... Problem 184E: Express the rational function as a sum or difference of two simpler rational expressions. 184. 1x3x Problem 185E: Express the rational function as a sum or difference of two simpler rational expressions. 185.... Problem 186E: Express the rational function as a sum or difference of two simpler rational expressions. 186.... Problem 187E: Express the rational function as a sum or difference of two simpler rational expressions. 187.... Problem 188E: Express the rational function as a sum or difference of two simpler rational expressions. 188.... Problem 189E: Express the rational function as a sum or difference of two simpler rational expressions. 189.... Problem 190E: Express the rational function as a sum or difference of two simpler rational expressions. 190. xx24 Problem 191E: Express the rational function as a sum or difference of two simpler rational expressions. 191.... Problem 192E: Express the rational function as a sum or difference of two simpler rational expressions. 192.... Problem 193E: Express the rational function as a sum or difference of two simpler rational expressions. 193.... Problem 194E: Express the rational function as a sum or difference of two simpler rational expressions. 194.... Problem 195E: Express the rational function as a sum or difference of two simpler rational expressions. 195.... Problem 196E: Use the method of partial fractions to evaluate each of the following integrals. 196. dx( x3)( x2) Problem 197E: Use the method of partial fractions to evaluate each of the following integrals. 197. 3xx2+2x8dx Problem 198E: Use the method of partial fractions to evaluate each of the following integrals. 198. dxx3x Problem 199E: Use the method of partial fractions to evaluate each of the following integrals. 199. xx24dx Problem 200E: Use the method of partial fractions to evaluate each of the following integrals. 200. dxx( x1)( x2)(... Problem 201E: Use the method of partial fractions to evaluate each of the following integrals. 201.... Problem 202E: Use the method of partial fractions to evaluate each of the following integrals. 202. dxx25x+6 Problem 203E: Use the method of partial fractions to evaluate each of the following integrals. 203. 2xx2+xdx Problem 204E: Use the method of partial fractions to evaluate each of the following integrals. 204. 2x2x6dx Problem 205E: Use the method of partial fractions to evaluate each of the following integrals. 205. dxx32x24x+8 Problem 206E: Use the method of partial fractions to evaluate each of the following integrals. 206. dxx410x2+9 Problem 207E: Evaluate the following integrals, which have irreducible quadratic factors. 207. 2( x4)( x 2... Problem 208E: Evaluate the following integrals, which have irreducible quadratic factors. 208. x2x3x2+4x4dx Problem 209E: Evaluate the following integrals, which have irreducible quadratic factors. 209. x3+6x2+3x+6x3+2x2dx Problem 210E: Evaluate the following integrals, which have irreducible quadratic factors. 210. x( x1) ( x 2 +2x+2... Problem 211E: Use the method of partial fractions to evaluate the following integrals. 211. 3x+4( x 2 +4)( 3x)dx Problem 212E: Use the method of partial fractions to evaluate the following integrals. 212. 2 ( x+2 )2( 2x)dx Problem 213E: Use the method of partial fractions to evaluate the following integrals. 213. 3x+4x32x4dx (Hint: Use... Problem 214E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 215E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 216E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 217E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 218E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 219E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 220E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 221E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 222E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 223E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 224E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 225E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 226E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 227E: Use substitution to convert the integrals to integrals of rational functions. Then use partial... Problem 228E: Use the given substitution to convert the integral to an integral of a rational function, then... Problem 229E: Use the given substitution to convert the integral to an integral of a rational function, then... Problem 230E: Graph the curve y=x1+x over the interval [0,5] . Then, find the area of the region bounded by the... Problem 231E: Find the volume of the solid generated when the region bounded by y=1/x(3x) , y=0 , x=1 , and x=2 is... Problem 232E: The velocity of a particle moving along a line is a function of time given by v(t)=88t2t2+1 . Find... Problem 233E: Solve the initial-value problem for x as a function of t. 233. (t27t+12)dxdt=1 , (t4,x(5)=0) Problem 234E: Solve the initial-value problem for x as a function of t. 234. (t+5)dxdt=x2+1 , t5 , x(1)=tan1 Problem 235E: Solve the initial-value problem for x as a function of t. 235. (2t32t2+t1)dxdt=3 , x(2)=0 Problem 236E: Find the x-coordinate of the centroid of the area bounded by y(x29)=1 , y=0 , x=4 , and x=5 . (Round... Problem 237E: Find the volume generated by revolving the area bounded by y=1x3+7x2+6xx=1 , x=7 , and y=0 about the... Problem 238E: Find the area bounded by y=x12x28x20 , y=0 , x=2 , and x=4 . (Round the answer to the nearest... Problem 239E: Evaluate the integral dxx3+1 . Problem 240E: For the following problems, use the substitutions tan(x2)=t , dx=21+t2dt , sinx=2t1+t2 , and... Problem 241E: For the following problems, use the substitutions tan(x2)=t , dx=21+t2dt , sinx=2t1+t2 , and... Problem 242E: For the following problems, use the substitutions tan(x2)=t , dx=21+t2dt , sinx=2t1+t2 , and... Problem 243E: For the following problems, use the substitutions tan(x2)=t , dx=21+t2dt , sinx=2t1+t2 , and... format_list_bulleted