How to find the indefinite integral of the product of the squares of X and cosx?

How to find the indefinite integral of the product of the squares of X and cosx?

We don't know whether the square is the square of X or the square of cosx as a whole
∫xcos(x²)dx=(1/2)∫cos(x²)d(x²)=sin(x²)/2+C
C is an arbitrary constant
∫xcos²xdx=(1/2)∫x(cos2x+1)dx=(1/2)(∫xcos2xdx+∫xdx)
=(1/2)[(1/2)∫xd(sin2x)+(1/2)x²]
=(1/4)(xsin2x-∫sin2xdx+x²)
=(1/4)[xsin2x+(1/2)cos2x+x²]+C
=(2xsin2x+cos2x+2x²)/8 + C
C is an arbitrary constant

What if it's an indefinite integral of the square of cosx

cos²x=(1+cos2x)/2
The indefinite integral of 1 / 2 is 1 / 2 X
The indefinite integral of cos2x is 1 / 2 sin2x
So the indefinite integral of COS & # x is 1 / 4 sin2x + X / 2 + C

Y = 2x + √ ￣ 1-2x. How to use the substitution method to find the range?

Let √￣ 1-2x = t > 0
So y = 2x + √ ￣ 1-2x = 2x-1 + 1 + √ ￣ 1-2x = - T ^ 2 + T + 1
The axis of symmetry is t = 1 / 2
When t = 1 / 2, y = 5 / 4
So y is (negative infinity, 5 / 4)

The range of y = 2x + 1 + √ (x-1) is (3, positive infinity)

A:
y=2x+1+√(x-1)
Let m = √ (x-1) > = 0
The square of both sides is: M & # 178; = X-1
So: x = M & # 178; + 1
Substituting into the original function, we get:
y=2(m²+1)+1+m
=2m²+m+3
Because: M > = 0
So: 2m & # 178; + m + 3 > = 3
So: Y > = 3
So: the range of y = 2x + 1 + √ (x-1) is [3, + ∞)
The left side of the answer interval provided should be a closed interval, because it can take 3

How to pronounce 26 capital letters
Who taught me to write it in Chinese in order!

26 English alphabet case comparison table + Chinese reading aid + Pinyin reading aid upper case  x09a  x09b  x09c  x09d  x09e  x09f  x09g  x09h  x09i  x09j  x09j  x09l  x09m lower case  x09a  x09b  x09c  x09d  x09; x09e

Write sentences from 26 capital letters
A is a pyramid, enterprising; B is two hearts, friendship

A is a pyramid, is enterprising; B is two hearts, is friendship; C is a moon, is romantic; D is a house, is warm; E is a swing, is innocence; F is an axe, is strength; G is a swivel chair, is humor; h is a horizontal bar, is healthy; I is a dumbbell, is bodybuilding

How to read 26 English capital letters!

It's the same as lowercase

When filling in pinyin, please use space to separate the Pinyin of each word, and use all capital letters, English name please press protect! My name is Ma Biao``

Which letters should be capitalized when writing a three character name in pinyin?

The first letter of the last name
The first letter of the first name

Which alphabets of a brand need to be capitalized in English
For example, Quanjude's Pinyin is Quanjude. I think some people write Quanjude as a capital letter, while others write Quanjude as a form like Quanjude. Which form is correct in English or in the United States or the United Kingdom?

It should be Quanjude