How to integrate x ^ 2 / sqrt (1-x ^ 2) DX?

How to integrate x ^ 2 / sqrt (1-x ^ 2) DX?

Solving mathematical integral ∫ sqrt (1-x ^ 2) * arcsinx DX

Let arcsinx = t, simplify the generation, and the rest is simple. It can be calculated by simple partial integration, and then take x back!

Integral ∫ sqrt (3x * X-2) DX =?

∫ √ (3x & sup2; - 2) DX let x = √ (2 / 3) secz, DX = √ (2 / 3) secztanz DZ √ (3x & sup2; - 2) = √ (2sec & sup2; Z-2) = √ 2tanz primitive = 2 / √ 3 * ∫ secztanz DZ = 2 / √ 3 * ∫ secz (SEC & sup2; Z-1) DZ = 2 / √ 3 * ∫ sec & sup3; Z dz-2 / √ 3 * ∫ secz DZ = 2 / √ 3 * 1 / 2 * ()

On the equation KX + 2 = 4x + 6 of X, there is an integer word to find the value of K

kx-4x=4
X = 4 / (K-4) is an integer
So K-4 is a divisor of 4
k-4=1,-1,2,-2,4,-4
So k = 5, k = 3, k = 6, k = 2, k = 8, k = 0

A problem of linear inequality of one variable in elementary two
How many integers x satisfy the inequality - (3 / 2) ≤ (3 / 2) x + (5 / 2) ≤ (3 / 2)?
Just a few

There should be only - 1 and - 2,
-（3/2）≤(3/2)x+（5/2）≤（3/2）
-4 ≤(3/2)x≤-1
-（8/3)≤x≤-(2/3)
So the value of X can only be - 1 and - 2

The average value of the five numbers is 60. If one of them is changed to 80, the average value of the five numbers is 70. What should be the changed number

Average increase 70-60 = 10
Then the sum is increased by 10 × 5 = 50
So this number is 80-50 = 30

The answer of 986 × 89-987 × 88 with simple algorithm is a question of grade 4 of primary school. Please find it according to the solution of grade 4 of primary school. Thank you~~~~~~~~~~
The questioner is in grade 4~~~~~~~~~~

986*89-(986+1)*88=986*89-986*88-88=986*(89-88)-88=986-88=898

Xinhua Bookstore shipped 6800 science and technology books. The number of story books is 20% less than that of science and technology books. How many story books?

6800*80=5440

Fill in the blanks: 41 28 27 83 () 65 A, 36 B, 30 C, 45 D, 54

41 28 27 83 ( ) 65
Solution: 41 - 27 = 14
14 × 2 = 28, which is the number in brackets
So, by analogy, 83-65 = 18
18 × 2 = 36
The answer is: a

How to solve the equation 5x + 15 (3.1x + 63) = 52

5x+15（3.1x+63）=52
Remove brackets: 5x + 46.5x + 945 = 52
51.5x = - 893
When the coefficient is changed to 1, x = - 1786 / 101