Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
If we use the substitution 
, then 
. If you try substituting just 
and 
into the integrand, though, you'll notice that there's a 
left over that we have to deal with.
To get rid of this problem, use the identity
and substitute in the left side of the identity for the extra , as shown:
From there, we can substitute in and , and then evaluate:
To get rid of this problem, use the identity
From there, we can substitute in