Solving ∫ DX / (4-9x ^ 2) by substitution method

Solving ∫ DX / (4-9x ^ 2) by substitution method

Let t = 3x, then
The original formula = DX / ((2 + 3x) (2-3x)) = (DX / (1 / (2 + 3x) + 1 / (2-3x))) / 4 = (DX / (2 + 3x) + DX / (2-3x)) / 4
=(d(3x)/(2+3x)+d(3x)/(2-3x))/(4*3)=(dt/(2+t)+dt/(2-t))/12
=(ln(t+2)-ln(2-t))/12
=(ln(3x+2)-ln(2-3x))/12

If the sum of two rational numbers is negative, then both numbers are negative. Is that right?

Wrong!
-8+5=-3

4X six times y squared divided by (- 1 / 4 x cube)

-16x^3y^2

11x-5.7-x = 12.8 how to solve the equation, I thank you!

11x-5.7-X=12.8
10x=5.7+12.8
10x=18.5
x=18.5÷10
x=1.85

What is the common point coordinate of the line 4x + 3Y = 40 and the circle x ^ 2 + y ^ 2 = 100?
fast

Solve the equations: x ^ 2 + y ^ 2 = 100 (1), 4x + 3Y = 40 (2). Change the formula (2) to x = 10 - (3 / 4) y, and substitute it into formula (1) to get: 5Y ^ 2-48y = 0. The solution is x = 10, y = 0 or x = 14 / 5, y = 48 / 5
So the intersection points are: (10,0), (14 / 5,48 / 5)

What does 6.3e + 33 mean in calculator
6.3e+33

6.3 times 10 to the 33rd power

An applied problem of quadratic equation of one variable in the third grade of junior high school,
Cut a 56cm long wire into two sections and make each section into a square
How to cut the sum of the two squares to 100cm ^ 2?

The perimeter of both ends is x, 56-x respectively
So the side lengths are respectively X / 4, (56-x) / 4
(x/4)^2+[(56-x)/4]^2=100
If you don't have a pen, just do it yourself
There should be two solutions

A proof of function boundedness
It is proved that if f (x) is continuous in (- ∞, + ∞) and lim X - > ∞ f (x) exists, then f (x) must be bounded in (- ∞, + ∞)

If only Lim X - > + ∞ f (x) exists, then f (x) = e ^ (- x) is unbounded. If both Lim X - > + ∞ f (x) and lim X - > - ∞ f (x) exist, then f (x) = e ^ (- x) is unbounded

Given (a + b) ^ 2 = 7, (a-b) ^ 2 = 3, find the value of a ^ 2 + B ^ 2 + ab

a2+b2+2ab=7
a2+b2-2ab=3
Subtraction gives AB = 1
a2+b2+ab=a2+b2+2ab-ab=7-ab=6

How to solve the problem that the square of 2x-4x-1 equals 0

The square of 2x-4x-1 equals 0
4x^2-2x+1=0
(2x-1/2)^2+3/4=0
(2x-1/2)^2=-3/4
The equation has no real solution