Integral of (1+sec(x))^2 dxDate: 5 Jan 1995 11:24:58 -0500 From: Cornelia Ott Subject: Integrals Dear dr. math, Please help me with this problem, and possibly show me the steps on how to solve it. Thank you. Integral of (1+sec(x))^2 dx Thanks a lot again Date: 5 Jan 1995 12:04:33 -0500 From: Dr. Ken Subject: Re: Integrals Hello there! I'll get you started down the road of how I would do this problem. First of all, try carrying out that squaring operation, to get Integral of (1 + 2Sec[x] + Sec^2[x]), and then notice that the derivative of Tangent is Secant squared. So we've got that part of the integral nailed. The 1 part is pretty easy too, so all that's left is to integrate that 2Sec[x] term. This is best done by looking up in a calculus book what the integral of Secant is. Hope this helps! -Ken "Dr." Math |
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