Asked by Maryam
(c) find the integral of 1/squrt (x^2+2x+10) dx
Answers
Answered by
Steve
you know that 1/√(a^2+u^2) du = arcsinh(u/a)
Let u = x+1 and you have du=dx so
∫1/√((x+1)^2 + 3^2) dx
=∫1/√(u^2+9)
= arcsinh((x+1)/3) + C
Let u = x+1 and you have du=dx so
∫1/√((x+1)^2 + 3^2) dx
=∫1/√(u^2+9)
= arcsinh((x+1)/3) + C
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