Question: Callculus 2 Questions Topic Integration by Parts EXERSICE 7: INTEGRATION BY PARTS 1. Evaluate 2x Inx dx by using integration by parts. : x3 Inx

Callculus 2 Questions Topic Integration by Parts

EXERSICE 7: INTEGRATION BY PARTS 1. Evaluate 2x Inx dx by using integration by parts. : x3 Inx dx = x4 Inx x4 4 16 =1.83508872 2. Use integration by parts to evaluate [xtan x dx . .. [xtan-1x dx = x2tan" x x tan"x. 2 2 2 3. Use integration by part, find [ xcos2 x dx . xcos2 x dx = x Cosxsinx x sin2x_x2 2 4 4 .+ C 4. Use the integration by parts, find fox3 ex dx : 10x3 ex dx = ex(x3 -3x2 + 6x-6)= 0.5634 5. Evaluate [In|x + 1|dx by using integration by parts. : In/x + 1 dx =(x+ 1)n/x+1- 1-x+C

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