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Integrate: (1+x) e^x sec^2(xe^x)

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Solution:  We have ,

                I=int (1+x)e^x sec^2(xe^x)dx

           Put ,    xe^x=tRightarrow (x+1)e^x dx=dt

             I=int sec^2t hspace0.1cmdt=	an t+c=	an (xe^x)+c

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Deependra Verma

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