Integrate sqrt(1 +a^2*x^2) dx Thanks
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You want to do a trig substitution so that the square root term will disappear. Have you tried subbing tangent, secant, cotangent, or cosecant in for x?
i have been trying x = a*sinh u
Originally Posted by j-lee00 i have been trying x = a*sinh u Try
Originally Posted by j-lee00 i have been trying x = a*sinh u should work.
Hello, j-lee00! Integrate: . Let: Then: . Substitute: . This integral requires Integration By Parts twice, or a standard formula. . . Back-substitute . . . Answer: .
J Lee, I didn't work with the geometry, but Soroban basically completed what I started for you. -Colby
J Lee was trying to use a sinh substitution; I think the integration is easier with this substitution. Now you can substitute the x back (noting that
thanks for all your assistances
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