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Alex Ar [27]
3 years ago
5

I think it's a-b squared.

Mathematics
1 answer:
klemol [59]3 years ago
7 0
It will have a root a - 
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Integrate cosx/sqrt(1+cosx)dx
Step2247 [10]
<span>Take the integral: integral (cos(x))/sqrt(cos(x)+1) dx
For the integrand (cos(x))/sqrt(1+cos(x)), substitute u = 1+cos(x) and du = -sin(x) dx: = integral (u-1)/(sqrt(2-u) u) du
For the integrand (-1+u)/(sqrt(2-u) u), substitute s = sqrt(2-u) and ds = -1/(2 sqrt(2-u)) du: = integral -(2 (1-s^2))/(2-s^2) ds
Factor out constants: = -2 integral (1-s^2)/(2-s^2) ds
For the integrand (1-s^2)/(2-s^2), cancel common terms in the numerator and denominator: = -2 integral (s^2-1)/(s^2-2) ds
For the integrand (-1+s^2)/(-2+s^2), do long division: = -2 integral (1/(s^2-2)+1) ds
Integrate the sum term by term: = -2 integral 1/(s^2-2) ds-2 integral 1 ds
Factor -2 from the denominator: = -2 integral -1/(2 (1-s^2/2)) ds-2 integral 1 ds
Factor out constants: = integral 1/(1-s^2/2) ds-2 integral 1 ds
For the integrand 1/(1-s^2/2), substitute p = s/sqrt(2) and dp = 1/sqrt(2) ds: = sqrt(2) integral 1/(1-p^2) dp-2 integral 1 ds
The integral of 1/(1-p^2) is tanh^(-1)(p): = sqrt(2) tanh^(-1)(p)-2 integral 1 ds
The integral of 1 is s: = sqrt(2) tanh^(-1)(p)-2 s+constant
Substitute back for p = s/sqrt(2): = sqrt(2) tanh^(-1)(s/sqrt(2))-2 s+constant
Substitute back for s = sqrt(2-u): = sqrt(2) tanh^(-1)(sqrt(1-u/2))-2 sqrt(2-u)+constant
Substitute back for u = 1+cos(x): = sqrt(2) tanh^(-1)(sqrt(sin^2(x/2)))-2 sqrt(1-cos(x))+constant
Factor the answer a different way: = sqrt(1-cos(x)) (csc(x/2) tanh^(-1)(sin(x/2))-2)+constant
Which is equivalent for restricted x values to:
Answer: | | = (2 cos(x/2) (2 sin(x/2)+log(cos(x/4)-sin(x/4))-log(sin(x/4)+cos(x/4))))/sqrt(cos(x)+1)+constant</span>
3 0
3 years ago
Help me do this please
wariber [46]

Answer:

58

Step-by-step explanation:

I think you add it when you add it you get 58. You add the angles

7 0
3 years ago
Help I’ll mark brainliest
Thepotemich [5.8K]

Answer:

The 2nd one.

Step-by-step explanation:

6 0
3 years ago
25ft+25ft+20ft+20ft+2.5ft+2.5ft+8ft+13ft
Anna71 [15]

we are given

25ft+25ft+20ft+20ft+2.5ft+2.5ft+8ft+13ft

Since, every value is in ft

so, we can take out ft

=(25+25+20+20+2.5+2.5+8+13)ft

now, we can add them

and we get

=116ft............Answer

7 0
3 years ago
10 x 6 1/2 x 2 1/4 can someone pls help this home work is due in an hour✋
Leto [7]

Answer:

<u>585/4</u> or <u>146.25</u>

Step-by-step explanation:

10 x 6 1/2 x 2 1/4

10 x 13/2 x 9/4

5 x 13 x 9/4

65 x 9/4

<u>585/4 = 146.25</u>

4 0
2 years ago
Read 2 more answers
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