![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Difference and relation between differential and integral
According to geometry:
The derivative of a point on the curve is the slope of the tangent line of the point, and not specifying a point is the relationship between the slope and X;
Differential is to use tangent line equation to approximate the value of curve equation at a certain point, and not specifying a certain point is the relationship satisfied by all points;
Definite integral is to find the area between the curve and X axis;
The indefinite integral is the equation that the area satisfies
According to Algebra:
Differential is the process of derivation, and integral is the reverse derivation
Difference between differential and integral in Mathematics
The integral is generally divided into indefinite integral, definite integral and calculus. 1.0 indefinite integral. Let f (x) be a primitive function of function f (x). We call all primitive functions f (x) + C (C is any constant) of function f (x) as indefinite integral of function f (x)
What's the difference between differential and integral These two concepts in advanced mathematics have been very confusing. Please give me your advice
What's the difference between differential and integral?
Differential and integral are inverse operations to each other, as addition and subtraction, multiplication and division are inverse
For differential and integral, you can do this simply
Differential is to find the slope of each point of a curve
Integral is to find the area under a curve
What is the difference between differential and integral?
The integral is generally divided into indefinite integral, definite integral and calculus. 1.0 indefinite integral. Let f (x) be a primitive function of function f (x). We call all primitive functions f (x) + C (C is any constant) of function f (x) as indefinite integral of function f (x)
How to find the indefinite integral of X / (3x + 4) ^ 2 DX
If x / (3x + 4) ^ 2 = A / (3x + 4) ^ 2 = A / (3x + 4) ^ 2 + B / (3x + 4) = [3ax + (4a + b)] / (3x + 4) ^ 2, then {3A = 1 → a = 1 / 34a + B = 0 → B = - 4 / 3, X / (3x + 4) ^ 2 = (1 / 3) / (3x + 4) ^ 2 - (4 / 3) / (3x + 4)] DX = (1 / 3) / (3x + 4)] DX DX = (1 / 3) / (3x + 4)] DX = (1 / 3) / (3x + 4)] DX = (1 / 3) / (3x + 4)] DX = (1 / 3) / (3x + ∫ 1 / (3x +)
To find the following indefinite integral by the method of summation differentiation: ∫ (1 / xlnx) DX
∫(1/xlnx)dx
＝∫(lnx)dlnx
=1/2(lnx)^2+c
Definite integral formula
Definite integral and derivative are inverse operations. You know, I'm also learning advanced mathematics. I'm going to graduate school. DX, as I said above, indicates that x is a variable, and the rest are constants. In fact, this knowledge needs to be understood in textbooks. I'm looking at double integral. Its real indefinite integral is very important. Come on
Differential 1 / (a ^ 2 + x ^ 2) DX = how to replace the differential formula
It is converted to the - 1 power of (a ^ 2 + x ^ 2), and then the derivative is obtained according to the composite function
d(a^2+x^2 )^-1=-(a^2+x^2)^-2*2xdx
The concrete formula of the summation and differentiation method of one of the methods of indefinite product decomposition? University advanced mathematics knowledge! I remember that there are a few template formulas that can be applied!
All the commonly used functions and trigonometric functions are OK
If xdx = D (1 / 2 x ^ 2), then ∫ XF (x ^ 2) DX = 1 / 2 ∫ f (U) Du
On f (U) Du
Specific analysis of the specific problem, the template seems to be a few abstract functions on the line to see what you ask for
Simplify ratio 2:1 / 3:3 / 4
I haven't used math for a long time. I don't know. It's right
Because:
1: 1:1 = 12:12:12 (multiply by 12)
So:
Because there are two scores in the title: 1 / 3 and 3 / 4, the least common multiple of denominator is 4 * 3 = 12
So multiply by 12
2*12：12/3：12*3/4 = 24:4:9
I don't know if this is it?
RELATED INFORMATIONS
- 1. I used 9 yuan to buy a duck, 10 yuan to sell out, 11 yuan to buy back, 12 yuan to sell out. Excuse me, how much money did I make?
- 2. I asked the math question: When 5% and 40% sugar water are mixed, 140 g sugar water containing 30% sugar should be prepared. How many grams of each of the two solutions should be taken?
- 3. Ask geometric math questions 1. There are innumerable straight lines passing through a point; there is one and only one straight line passing through two points, and the straight line passing through three points does not exist. Question: if point C is not on the line AB passing through two points a and B, then () the straight line passing through points a, B and C
- 4. When a bicycle tire is inflated with an air pump, after a while, the cylinder wall will heat up. When explaining this phenomenon, classmate a said, "this is caused by the piston moving up and down and the cylinder wall friction, and the temperature of the cylinder wall rises due to the heat generated by friction." according to the same theory, "this is because the piston compresses the air in the cylinder, which increases the internal energy and temperature of the air in the cylinder, and also due to heat transfer Make the wall of the cylinder warm up too. "Who's right? Explain your reasons
- 5. It's about something like a rice cooker that's heated or kept warm When a circuit is connected in series, is it heated by a series of resistors or by two resistors in series? When a circuit is in parallel,
- 6. Find the limit ((sin (x ^ 3 + x ^ 2-x) + SiN x) / x x → 0 known Lim SiNx / x = 1
- 7. The indefinite integral of ∫ arctan (x + 1) DX is calculated by the method of integral by parts
- 8. Given the sine value, find the given angle of inverse trigonometric function table In a straight triangle, the opposite side is 4.91 and the hypotenuse is 12.5?
- 9. Linear Algebra: it is proved that if the element of determinant | a | of order n (n > = 2) is 1 or - 1, then | a | is even RT
- 10. Why determinant | a ^ - 1 | = | a | ^ - 1, how to prove it? Thank you
- 11. tanx-1≥0 What is the value range of X?
- 12. The inverse function of the function y = (x + 1) 2 + 1 (x ≤ 1) is How is it calculated
- 13. Super simple inverse function, online evaluation y=2x+6 It's about the process By the way, what are even and odd functions
- 14. The definition domain and value domain of y = log2 (- x ^ 2 + 2x) are obtained
- 15. Given that the definition domain of function y = f (x) is R and there is an inverse function y = F-1 (x), then the inverse function of function y = 2F (x / 2-1) is
- 16. When f (x) = ex-ax-1, if f (x) increases monotonically in the domain R, then the value range of a is______ .
- 17. The inverse function f ^ - 1 (x) of function y + 2 ^ x (x > 0) and its definition domain are given
- 18. Given that the function f (x) = loga (X-2 / x + 2), the definition field [α, β], the range [logaa (β - 1), logaa (α - 1)] {* subscript will not be marked, a (β - 1) and a (α - 1) in the range are true numbers}, and f (x) is a subtraction function on [α, β], so we can find the range of real number a, It's OK to give you some ideas
- 19. If there is an intersection between the original function and the inverse function, is the intersection on the straight line y = x? Why? He also gave a counter example, but I forgot. Now I'm in college. I'm confused when I encounter such problems,
- 20. Find the inverse function of the function y = e ^ x-e ^ - X / 2? I am not smart enough, so I can only trouble the students who know the answer to write the answer in detail. Thank you The standard answer is y = in (x + Geng 1 + x ^ 2)