Posted by Anonymous on Friday, November 30, 2012 at 8:46pm.
x = 7 sinh(t)
sqrt(49 + x^2) = 7 sqrt[1 + sinh^2(t)] = 7 cosh(t)
dx = 7 cosh(t) dt
The integral is thus:
49 Integral of cosh^2(t) dt =
49 Integral of [cosh(2t) + 1]/2 dt =
49 [t/2 + 1/4 sinh(2t)]
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