Ryan Saladores
2022-07-23

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asked 2021-02-24

asked 2021-05-11

Evaluate the line integral, where C is the given curve

C xy ds

C:$x={t}^{2},y=2t,0\le t\le 5$

C xy ds

C:

asked 2022-09-04

Definite Integral of $\mathrm{cos}(x)/\sqrt{\mathrm{sin}(x)}$ from $\pi /6$ to $\pi /2$

asked 2021-10-07

Evaluate the line integral, where C is the given curve. Integral C x $\mathrm{sin}$ y ds, C is the line segment from (0, 3) to (4, 6)

asked 2021-10-10

The following integrals require a preliminary step such as a change of variables before using the method of partial fractions. Evaluate these integrals.

$\int \frac{dx}{1+{e}^{x}}$

asked 2021-09-03

Provided a function that would be defined fo every natural number n as:
$$g(n)=\frac{2}{2}+\frac{1}{4}+\frac{1}{8}+\cdot \cdot \cdot +\frac{1}{{2}^{n-1}}+\frac{1}{{2}^{n}}$$
COnjecture a closed form form for g(n) (a simple expression devoid of signs or dots) while also using mathematical induction to prove that the conjecture is true.

asked 2021-10-12

Evaluate the following integrals. Include absolute values only when needed.

$\int}_{e}^{{e}^{2}}\frac{dx}{x{\mathrm{ln}}^{3}x$