Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
The answer is 8:14. this can be simplified to 4:7 (divide by 2).
Answer:
94.99
Step-by-step explanation:
Hi,
The formula to find the area of a circle is: A = πr²
So...
A = 3.14 (r)²
The radius of the circle is 5.5 because half of the diameter is the radius.
A = 3.14 (5.5)²
A = 3.14 (30.25)
A = 94.985 rounded is 94.99
I hope this helps :)
Answer:
66 degrees
because Angle EAG is a corresponding angle and its measure is 81 which means that Angle HAJ is also 81. So the last step is the actual angle which is 81 minus 15 which equals 66 degrees
3)
26 + ( 3x + 1 ) = 180
27 + 3x = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51
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4)
( 4x + 1 ) + ( 3x + 4 ) = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/5
x = 25
