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Definite integral of piecewise function f(X)={ sinX (0
S=∫sinx dx(0,π/2)+∫(aX+2)dx(π/2,π)
=-cosx|(π/2,0)+(0.5ax^2+2x)|（π,π/2）
Because it is continuous when x = 0.5 π, sin0.5 π = a π / 2 + 2
Because a * π / 2 + 2 = sin (π / 2) = 1 -- > A = - 2 / π
S=-(cosπ/2-cos0)+0.5a(π^2-(π/2)^2）+2（π-π/2）
S=1+0.5*4/π^2*3*π^2/4+π
S=1+1.5+π=2.5+π
What kind of function's definite integral needs to be solved piecewise?
First, the definite integral of piecewise function
It is necessary to know which end of the domain of integrand the integral limit is, and then sum the integral according to the segment
Secondly, definite integral of integrand with absolute value sign
Before the integral operation, try to get rid of the absolute value, divide the integral interval into several sub intervals, and calculate by sections!
Grade 9 mathematics volume 1 answers online, etc~
P88-12 speed
It's a process
People's Education Press
ABC is an equilateral triangle for the following reasons:
∵∠APC=∠CPB=60°,∴∠BAC=∠ABC=60°∵∠ACB=180°-∠BAC-∠ABC
=180 ° - 60 ° - 60 ° = 60 °, ab = BC = Ca, ABC is an equilateral triangle
The original price of a commodity is 150 yuan. How much is the current price
The current price is: 150 × (1 + 1 / 5) × (1-1 / 5) = 150 × (1-1 / 25) = 144 yuan
What is the relationship between monotone interval and function domain
The monotone interval of a function is discussed in the domain of definition of a function. It (they) must be a subset of the domain of definition. Generally, if a function increases or decreases in the whole domain of definition, it can be said that it increases in the domain of definition. If there is no obvious relationship, the domain of definition is divided into several regions
A mathematical problem of quadratic equation of one variable in the third grade of junior high school
x^2-2x-2=0 2x^2+3x-1=0 2x^2-4x+1=0 x^2+6x+3=0
There are three equations which have the same characteristic of coefficient of first-order term. This characteristic is expressed by algebraic formula, and the root formula of the equation with this characteristic is derived
(see the problem clearly, not solve the equation!)
It doesn't seem to be the characteristic of linear coefficient
I don't understand
Characteristics: for example, the equation AX ^ 2 Soil 2n * ax + C = 0 N is a natural number (the coefficient of the first term is an even multiple of the coefficient of the second term). Because the coefficient of the first term is 2 *... We can associate the complete square formula x ^ 2 soil 2x + 1 = (x soil 1) ^ 2, so the solution of ax ^ 2 + 2n * ax + C = 0 is a (x ^ 2 Soil 2nx + n ^ 2) - 2n ^ 2 + C = 0 (x soil N) ^ 2 = (2
What percentage of the original price is a toy whose price is reduced by 10% and then increased by 10%?
There should be a formula
Let's suppose that the former price is 1, so after the price reduction, it is 1 * (1-10%) = 0.9, and then increase the price by 10%. That is 0.9 * (1 + 10%) = 0.99
So the current price is 99% of the original price
If a × B = a * A-B * B, then 1-1 × 2-2 × 3 -... - 2003 × 2004 =?
1-1#2-2#3-...-2003#2004
The original formula = 1 - (1 & # 178; - 2 & # 178;) - (2 & # 178; - 3 & # 178;) - -(2003²-2004²)
=1-1²+2²-2²+3²-…… -2003²+2004²
=2004²
=4016016
Give examples to illustrate the meaning of the following algebraic expressions
（1）πR^2-πr^2：
（2）8x+9y：
（3）（a+b+c+d）/4：
（4）12（a-b）：
（5）90%x+110%y：
（6）（a+b）（a-b）
1. The radius of the big circle is r, the radius of the small circle is r, π R ^ 2 - π R ^ 2: it means the area of the big circle minus the area of the small circle, if two circles are concentric circles, it means the area of the ring. 2. The unit price of a pen is 8 yuan, the unit price of a book is 9 yuan, 8x + 9y: it means the money to buy x pens and Y books
Is use value the material bearing of commodity value?
Commodity is the unity of opposites of use value and value. The unity shows that use value is the material undertaker of commodity value
The sentence "use value is the material bearer of commodity value" can't be understood. It should be explained in simple language instead of written language. It's better to compare with an example
I put it on hold: I put it aside and ignore it in the back of my mind
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