Kaycee Roche
2020-12-25
Answered

Use the reduction formulas in a table of integrals to evaluate the following integrals.

$\int {p}^{2}{e}^{-3p}dp$

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grbavit

Answered 2020-12-26
Author has **109** answers

asked 2021-12-30

I have to calculate this integrals

${I}_{1}={\int}_{0}^{2}\frac{\mathrm{arctan}\left(x\right)}{{x}^{2}+2x+2}dx$

${I}_{2}=\underset{n\to \mathrm{\infty}}{lim}{\int}_{0}^{n}\frac{\mathrm{arctan}x}{{x}^{2}+x+1}dx$

I have a hint on the first one, the substitution$x=\frac{2-t}{1+2t}$ , but I can't understand how it was conceived.

I have a hint on the first one, the substitution

asked 2021-06-27

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada

Uganda

use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. By 2009, the models indicate that Canada's population will exceed Uganda's by approximately 2.8 million.

asked 2021-12-05

Calculate the double integral $Ry{e}^{-xy}dA,R=[0,2]\times [0,3]$

asked 2022-04-16

How do you differentiate $f\left(x\right)={x}^{2}-4x+3$ ?

asked 2021-10-12

Evaluate the limit using continuity.

$\underset{(x,y)\to (1,2)}{lim}({x}^{2}+y)$

asked 2022-02-10

How do you find the equation of the tangent line and normal line to the curve at the given point $y={(1+2x)}^{2}$ , (1,9)?

asked 2022-03-17

What is the equation of the tangent line of $f\left(x\right)=x-\frac{4}{{e}^{x}}+\frac{{x}^{2}}{{e}^{x}}-1$ at x=4?