If the integrand is continuous, must its definite integral be continuous?

If the integrand is continuous, must its definite integral be continuous?

If the integrand is continuous, its indefinite integral (any original function) must be continuous. In fact, the original function is differentiable, and the derivative is the integrand, isn't it?

How to find the original function of integrand in definite integral (integrand is compound function)
It's like sin & # 178; X, 1 / x times ㏑ x, xcosx, like the two questions in the picture

1/2ln(1+x²)|（0,1）=1/2ln2
1/2(lnx)²|(1,2)=1/2(ln2)²

Can continuous function have definite integral

No, the first kind of discontinuity must have the second kind. For example, the integral of 1 / x from - 1 to 1 is meaningless, but because it is an odd function, the result is 0

How to calculate the proportion of "the value of 1.5 * x equals the value of 3.6:4.8"

x=3.6/4.8/1.5=0.5

Who would recommend two math problems in the first year of Junior High School of Beijing Normal University,

1. For rational numbers x and y, a new operation is defined X@Y=aX+bY+1 Where a and B are constants, and on the right side of the equation are the usual addition and multiplication operations 3@5=15 ,4@7=28 For a, B and 2@2 The value of
2. If inequality (a + b) x + (2a-3b)

Three digit divided by 58, the quotient is one digit, no remainder

116÷58=2
147÷58=3
232÷58=4
290÷58=5
248÷58=6
406÷58=7
464÷58=8
522÷58=9

How to write the composition of feeling nature?
Composition of unit 3 of grade one

On Sunday, I had nothing to ask my friends to go to the mountains for a day. Far away from the noisy city, we went back to nature. Along the way, we watched the green mountains and green waters, the birds in the sky, and the flowers on the roadside. We sighed the beauty of the world together. Soon we got to the foot of the mountain. I like the colorful flowers and plants. Since we came out early, we began to walk up the mountain in the morning dew, The air is very fresh. Living in this city for so many years, this is my first time to go to this mountain. Originally, I only came here, but I didn't. I always feel that the mountains and lakes in front of my house can come at any time, so I let go of the opportunities one by one
On Sunday, I had nothing to ask my friends to go to the mountains for a day. Far away from the noisy city, we went back to nature. Along the way, we watched the green mountains and green waters, the birds in the sky, and the flowers on the roadside. We sighed the beauty of the world together. Soon we got to the foot of the mountain. I like the colorful flowers and plants. Since we came out early, we began to walk up the mountain in the morning dew, The air is very fresh. Living in this city for so many years, this is my first time to go to this mountain. Originally, I only came to this mountain, but I didn't. I always feel that the mountains and lakes in front of my house can come at any time, so I let them go again and again. The scenery along the way is really beautiful. I've been to many famous mountains and rivers. Today, my mountains are no worse than theirs, Now I regret how I missed so many opportunities. I went up to the top of the mountain at about ten o'clock. I love the light of the rising dawn. I went up the mountain on the shady side of the mountain all the time. I didn't see the sun from the beginning. At first sight, my eyes were still a little uncomfortable. I closed my eyes and took a deep breath, Feel the warmth of the sun. Open your eyes. Ah, how beautiful. I've never seen such a beautiful scenery. It's better than the top of Mount Tai. It's no less than the top of Mount Huangshan. There are also sea of clouds and sunrise, but it's different from the sea of clouds and sunrise in other places. It's the same in the sky when I watch the flowing clouds passing by. There are several mountains in the distance, rushing out of the clouds, I don't remember a line in the TV: "If heaven can taste people's wishes, mountains make gold, seas make fields". Now I really realize the meaning of this sentence. On the way down the mountain, I love the sweet smell of the soil. How fresh it is. There is no such thing in the city. From far away, birds sing from time to time, Far away trees. Are so vibrant. Every grass, every tree, they are alive. Life, vegetation a spring ah. Although their life is short, but very wonderful. They bloom, spit green. Think about people, how many people can't say their favorite, how many people can't spit out their heart. Even moved, also dare not act, is true love, People are too tired to really love. They envy these flowers and plants, but they are gorgeous all their lives without feelings, because they have blossomed and fruited. They are not affected. This mountaineering is really too tired. I don't regret it. Because I feel the beauty of nature. The mountains, the clouds, the flowers and the grass are all gifts given by nature. What's more, they make me feel the meaning of life. Everything is good

The magic clone is the second part of the second big problem in the Chinese exercise book
The text clearly tells us about modern science and technology - cloning technology. Why did sun Dasheng's ability be written at the beginning? Generally, an additional 30 points!
What's the advantage of writing like this?

Because, at the beginning, sun Dasheng is written to highlight the ancient people's fantasy about the future, so as to reflect the progress of modern science and technology! The rapid development! To pave the way for the following. At the beginning, the ability of Sun Wukong is written to explain the meaning of cloning by taking Sun Wukong as an example
What's the advantage of writing like this? Well, the above example illustrates the complex scientific term of cloning, which is simple in theory, ingenious and interesting
Because sun Dasheng's Mao can change things, and changing things has the same principle as cloning. Lie: Mao's changing things is the same as cloning!

For the number x, the sign [x] denotes the largest integer no more than x. if the equation [(3x + | a |) / 3] = 4 has a positive integer solution, then the value range of a is

Less than or equal to
[（3x+|a|）/3]=4
4≤(3x+|a|）/3＜5
12≤3x+|a|＜15
{3x+|a|＜15
3x+|a|≥12
The solution is as follows
{x＜5-|a|/3
x≥4-|a|/3
That is: 4 - |a | / 3 ≤ x < 5 - |a | / 3 has positive integer solution
∴0≤|a|/3＜4
0≤|a|＜12
0 ≤ a < 12 or - 12 < a ≤ 0
∴-12＜a＜12
To tell you the truth, it's a pervert. I can only make sure it's almost right

How to calculate 111.1 × 99.9 simply

111.1×99.9
=111.1×(100-0.1)
=111.1×100-111.1×0.1
=11110-11.11
=11098.89