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
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1 |Distributive
−x+6= 1 |SPOE (Subtraction Property of Equality)
−x= −5 |SPOE
x=5 |MPOE (Multiplication Property of Equality)</span>
Answer:
81 or 20 1/4
Step-by-step explanation:
im not sure sorry
She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.
0.08 is larger because it can also be written as 0.080, and 80 is larger than 76.
