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!!!
Answer:
41 × 32 using partial product we get the answer, 1312
Step-by-step explanation:
the partial product is defined as
Break 41 as (40+1)
and 32 as (30+2)
Since,
Partial-products multiplication is based on the distributive, or grouping, property of multiplication.
And also Multiply each Digits of one factor by each of the digits in the others
Use the partial product we have,
By using distributive property :
=1280+32=1312
Answer:
its either B or D
Step-by-step explanation:
7<-2× +3
2×=4
7< -4+3
-4+3=-7
7<-7
which is greater negative or positive?
sicne it is on the -7 then that is the answer but i dont know which is greater of negative or positive if you think its is positive then it might be C or A
Answer:
See below.
Step-by-step explanation:
Problem 1.
1. QU
2. QW
3. UW
Given
4. QUW
Problem 2.
1. CB
2. <1, <2
Given
3. BD, BE
Given
4. ABD, CBE
SAS
To my belief you're answer would be B, 18+45m