Answer:
Would ypu plz show us the number line so at least i could answer the question
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
Step-by-step explanation:
Answer:
<em>AXE</em> and <em>CXD </em>are vertical angles
<em>AXF</em> and <em>FXD </em>are supplementary angles
<em>DXC </em>and <em>BXC </em>are complementary angles
<em>EXA</em> and <em>AXB </em>are adjacent angles
<em>AXC </em>and <em>CXD</em> are supplementary angles
<em>EXD </em>and <em>AXC </em>are vertical angles
Step-by-step explanation:
