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
The enthalpy of a reaction can be measured using a Calorimeter
Answer:
x=104°
Step-by-step explanation:
180=(x+4) +72
180-72=x+4
108=x+4
108-4=x
104=x
x=104°
Hope this helps! :)
HELLO DEAR,
GIVEN:-
8cos²x + cosx - 9
8cos²x + 9cosx - 8cosx - 9
cosx(8cosx + 9) - (8cosx + 9)
(cosx - 1)(8cosx + 9)
I HOPE ITS HELP YOU DEAR,
THANKS
