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How To Integrate The First One Using Trig Sub With

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1.a) [5 marks] Solve the integral
1
dx. Use an inverse trigonometric substitut
tion of the form x = B tan (0) for some BER.
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1.b) [2 marks] Evaluate the improper integral
A
dxx.
-DO
1.c) [1 mark] Substitute A =
VUn TO
and v = 3 into your work from Question 1.b) to
confirm that:
r(7+1)
u+1
2
2
dt
=1
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In other words, confirm that p(t) satisfies the definition of a probability density function.Math