Exercises_integrals_solutions-1.pdf - Additional exercises Integrals Exercise 1 Compute the following indefinite integrals applying when necessary the

Exercises_integrals_solutions-1.pdf - Additional exercises...

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Additional exercises Integrals Exercise 1.Compute the following indefinite integrals, applying when necessary the inte-gration by parts formula or the integration by substitution.1.Zxe-x2dx,2.Zx1 +x2dx,3.Zxcos(2x)dx4.Zlnx dx,5.Zln2x dx,6.Z(x+ 1)ex-2dx,7.Zexdx,8.Zx2lnx dx,9.Zxln2x dx,10.Zsin2x dx,11.Zsin3x dx,12.Z(x+ 1)2cosx dx,13.Zp1-x2dx,14.Zxarcsinx dx,15.Z1 + lnxxdx,16.Z2exsinx dx,17.Zdxxx-1,18.Z1exdx. Solutions: 1 6.(By integration by parts)Z(x+ 1)ex-2dx=Zxex-2dx+Zex-2dx=xex-2-Zex-2dx+Zex-2dx=xex-2+c.1In the following the lettercstands for any real constant. 1

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