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∫e tan-1 x (1+x+x 2 /1+x 2 )

∫etan-1 x(1+x+x2/1+x2)

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2 Answers

Aman Bhambra
31 Points
9 years ago
put tan^-x=t;
=> dx/1+x^2 =dz;
=> Integrate ( e^z(1+tanz+tan^2z) dz);
=integrate (e^z(tanz+sec^2z)dz);
=e^z(tanz) + c;
=xe^(tan^-x) + c......... Required answer
sajid
615 Points
8 years ago
tan^-x=t;
=> dx/1+x^2 =dz;
=> Integrate ( e^z(1+tanz+tan^2z) dz);
=integrate (e^z(tanz+sec^2z)dz);
=e^z(tanz) + c;
=xe^(tan^-x) + c

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