ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Answer:
4,370
Step-by-step explanation:
add 10,500, 1,300, and 2,170
then add 3,100 and 6,500
subtract both sums
got it
94.1224489795918367 is the answer to your question
Answer:
13 11/12.
Step-by-step explanation:
First, we multiply 1/4 and 2/3 with it's least common denominator, 12. Now, we have 6 3/12 and 7 8/12. We now add this together to get the sum of 13 11/12.
