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
According to the rule of exponents , i.e. when two terms are in division with same base , we subtract the exponents
So
Or
x to the 3 fourteenths power
Answer:
d = 1.67 miles
Step-by-step explanation:
Given that,
Speed of a person,
We need to find how many miles can you walk in 30 minutes, given the same pace.
30 minutes = 0.5 h
Speed = distance/time
So, the person will cover a distance of 1.67 miles
Answer:
yes 6/5 is greater
Problem solving:
first you need to simply the fractions and see which one is bigger.
2/3 = 0.667
6/5 = 1.2
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