Answer:
MATH PROBLEM
Step-by-step explanation:
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer:a^2+2ab+b^2
Step-by-step explanation:
First write it out in extended form, (a+b)(a+b) then multiply each term by the other in each parenthesis, such as a*a+b*b+a*b+a*b
Then, once you have done that, simplify it. you will then get the answer a^2+2ab+b^2
Answer:
A denominator of 15
Step-by-step explanation:
3 and 5 both go into 15, 4/5 = 12/15 and 2/3=10/15
Make an equation.
'is' is an equal sign
The blank can be 'x'
'of' = multiplication
18 = x * 30
Multiply:
18 = 30x
Divide 30 to both sides:
x = 0.6
Multiply by 100:
0.6 * 100 = 60%