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junior college 2 | H3 Maths
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(Undergraduate integral calculus)
Hello, what's the logic or thought process behind using hyperbolic sine as the inverse substitution instead of a normal trigo function? The integrand (after substituting u and u' as e^x) is of the form sqrt(a^2 + x^2), so shouldn't x = atan(t) be used instead?
Date Posted: 6 years ago
Views: 1185
Please take a clear picture of the the above portion, I didn't read clearly
Find the area of the surface generated by the complete rotation about the x-axis of the section of the graph y = e^x between x = 0 and x = 1.
[Answer: pi(arcsinh(e) - arcsinh(1) + (e)sqrt(1+e^2) - sqrt(2))]
[Answer: pi(arcsinh(e) - arcsinh(1) + (e)sqrt(1+e^2) - sqrt(2))]
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I hope you understand this
Date Posted:
6 years ago
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This is the prove of sinhyperbolic inverse = log(x+√1+x^2)
Date Posted:
6 years ago
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