crealolobk

2021-12-31

For what values of a is each integral improper?

${\int}_{a}^{5}\frac{1}{x+2}dx$

Jim Hunt

Beginner2022-01-01Added 45 answers

Consider the integral ${\int}_{a}^{5}\frac{1}{x+2}dx$ .

Check whether the provided function is improper or not, find the point of infinite discontinuity.

Equate the denominator to zero.

x+2=0

x=-2

The function has a discontinuity at x=-2, so the integral is improper on the interval [a,5] for C.

And the integral is improper when$a=-\mathrm{\infty}$

Thus, the given integral is improper for$a\le -2$ or $a=-\mathrm{\infty}$ .

Check whether the provided function is improper or not, find the point of infinite discontinuity.

Equate the denominator to zero.

x+2=0

x=-2

The function has a discontinuity at x=-2, so the integral is improper on the interval [a,5] for C.

And the integral is improper when

Thus, the given integral is improper for

scomparve5j

Beginner2022-01-02Added 38 answers

Now is

7=a+2

a=7-2

a=5

Vasquez

Expert2022-01-08Added 669 answers

Recall that an integral is improper if one of the limits is

We determined that the integral is improper for a =-2.

What is the derivative of the work function?

How to use implicit differentiation to find $\frac{dy}{dx}$ given $3{x}^{2}+3{y}^{2}=2$?

How to differentiate $y=\mathrm{log}{x}^{2}$?

The solution of a differential equation y′′+3y′+2y=0 is of the form

A) ${c}_{1}{e}^{x}+{c}_{2}{e}^{2x}$

B) ${c}_{1}{e}^{-x}+{c}_{2}{e}^{3x}$

C) ${c}_{1}{e}^{-x}+{c}_{2}{e}^{-2x}$

D) ${c}_{1}{e}^{-2x}+{c}_{2}{2}^{-x}$How to find instantaneous velocity from a position vs. time graph?

How to implicitly differentiate $\sqrt{xy}=x-2y$?

What is 2xy differentiated implicitly?

How to find the sum of the infinite geometric series given $1+\frac{2}{3}+\frac{4}{9}+...$?

Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?

A. 4.2

B. 4.4

C. 4.7

D. 5.1What is the derivative of $\frac{x+1}{y}$?

How to find the sum of the infinite geometric series 0.9 + 0.09 + 0.009 +…?

How to find the volume of a cone using an integral?

What is the surface area of the solid created by revolving $f\left(x\right)={e}^{2-x},x\in [1,2]$ around the x axis?

How to differentiate ${x}^{\frac{2}{3}}+{y}^{\frac{2}{3}}=4$?

The differential coefficient of $\mathrm{sec}\left({\mathrm{tan}}^{-1}\left(x\right)\right)$.