# Substitution with u x 2 tan 3 x sec 2 x dx π 4

• Notes
• 7
• 94% (33) 31 out of 33 people found this document helpful

This preview shows page 5 - 7 out of 7 pages.

substitution with u= xtan3(x) sec2(x) dxπ/40partial fractionsintegration by parts inverse trig substitutionsubstitution with u= tan(x
2
)
Math 125 HW_6C[3/21/2012 1:35:06 AM](e) (f) (g) (h) (i) (j) dx14x+ 12x2+ 6x+ 100integration by parts partial fractionssubstitution with u= 4x+ 12substitution with u= x2+ 6x+ 10cos3(x) sin2(x) dx41partial fractionsintegration by parts change sin2xinto 1 − cos2x, then substitution with u= cos change cos2xinto 1 − sin2x, then substitution with u= sin dx255x2+ 5x− 1416integration by partspartial fractionsinverse substitution with u= (i.e., x= u2substitution with u= x2+ 5x− 14x) dx25−x20partial fractionsinverse substitution with u= (i.e., x= u2integration by parts with u= and dv= xdx5−substitution with u= 5 − xsin() dx1x0inverse trig substitutionpartial fractionsintegration by parts with u= 1 and dv= sin() dxinverse substitution with u= (i.e., x= u2dx4sin(lnx)x1inverse trig substitutionpartial fractionsintegration by parts with u= sin(lnx) and dvdx1xsubstitution with u= ln
x
x
)x
)x
x2
2
x
)x
=
x
Math 125 HW_6C[3/21/2012 1:35:06 AM]Home My AssignmentsWebAssign® 4.0 © 1997-2003 by North Carolina State University. Portions © 2003-2011 by Advanced Instructional Systems, Inc. All rights reserved.(k) (l) (m) (n) ln(3x) dx21partial fractions inverse trig substitutionintegration by parts with u= 1 and dv= ln(3x)integration by parts with u= ln(3x) and dv= dx45xlnx2integration by parts with u= and dvdx1lnx5xsubstitution with u= lnintegration by parts with u= and dvdx5x1lnxsubstitution with u= 1dx43(x2+ 2)3/21integration by partsinverse trig substitution partial fractionssubstitution with u= x2+ 2x− 3dx50inverse trig substitution integration by partssplit up the integral into and 3053split up the integral into and 2052
dx
dx
=
x
=
x