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:
Solve for x: -5/6x= -10/3 x=?
x = 1/4
Step-by-step explanation:
from the equation ,Solve for x: -5/6x= -10/3 , to solve for x we will first cross multiply
we have; -15= -60x
divide both sides by -60
-15/-60 = -60x/-60
x = 15/60 ( the minus will cancel out)
x = 1/4
check for your answer by putting 1/4 where you see x
i.e -5/6(1/4) = -10/3
-5 × 2/3 = -10/3
-10/3 = -10/3......... proved!!
Answer:
The answer is between first option and last option.
Step-by-step explanation:
That my Contributions to this questions
Answer:
2x > 10+4
x > 14/2
x > 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is unknown because there is no answer to that question and if there was it would be odd an would not make sence so that is a true of false question
