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:
<h2>
45°</h2>
Step-by-step explanation:
they are opposite angles, same value of 45°
Answer:
Step-by-step explanation:
Students in class who got 100% / All students in class
15 / 36 = .4166666....
Multiply by 100 to get a percentage.
.4166666.... * 100 = 41.66666....%
OR 41.7% with rounding
Answer:
a=8:12 c=£1.05:0.70 d=30:50:60:40
b=9:15
Step-by-step explanation:
Answer:
so adorable and cities what's not dogs dissatisfied as of plan
