J = ∫e ͯ/[(e ͯ)² + 1]dx Let u = e ͯ, du = e ͯdx J = ∫1/(u² + 1)du = arctan(u) + c = arctan(e ͯ) + c which is equivalent to your answer since arctan(1/e ͯ) + arctan(e ͯ) = π/2.
@jitendrathakran96134 ай бұрын
Your methods are fantastic, God bless
@nikolascsgo2 ай бұрын
just multiply both sides by e^x and it's a perfect textbook substitution integral leading to arctg(e^x)
@anonimo_190794 ай бұрын
Muy buen método, aunque yo habría intentado hacer un cambio de variable antes