What is the antiderivative of csc?
The integral of csc(x) with respect to x is ln(|csc(x)−cot(x)|) ln ( | csc ( x ) – cot ( x ) | ) . The answer is the antiderivative of the function f(x)=csc(x) f ( x ) = csc ( x ) .
How do you find the integral of csc 2?
1:553:08Calculus 2: Integration of Trig Functions (9 of 16) Integral of csc^2(x)YouTubeStart of suggested clipEnd of suggested clipI get D U is equal to minus the cosecant square of x times DX. Or. If I multiply both sides byMoreI get D U is equal to minus the cosecant square of x times DX. Or. If I multiply both sides by negative 1. I can write minus D u is equal to the cosine square of x times.
What is the derivative of csc 2?
We know how to differentiate csc(x) (the answer is -csc(x)cot(x)) We know how to differentiate x2 (the answer is 2x)…Using the chain rule, the derivative of csc^2x is -2.csc^2(x).cot(x)
| csc2x | ► Derivative of csc2x = -2csc2(x)cot(x) |
|---|---|
| csc 2 x | ► Derivative of csc 2 x = -2csc2(x)cot(x) |
•Oct 5, 2020
What is antiderivative of cos2x?
The integral, or antiderivative, of cos2x is 1/2 sin2x + c.
How do you find the antiderivative of Cscx?
The indefinite integral is I=−ln(cscx+cotx)+C I = − ln ( csc x + cot x ) + C We can verify this is the antiderivative b differentiating the expression.
How do you integrate csc 3x?
1:527:17integral csc^3x dx – YouTubeYouTube
What does csc 2 equal?
The square of co-secant function equals to the addition of one and square of cot function is called the cosecant squared formula. It is also called as the square of cosecant function identity.
What is the antiderivative of Secxtanx?
Here we have used method of integration by parts to calculate the antiderivative of sec x tan x. Hence to find the antiderivative of secxtanx we have to calculate the integral of secxtanx which is sec (x) + C where as C is any arbitary constant generated after integration.
What is the derivative of SEC 2x?
2 sec2x tanx The derivative of sec^2x is equal to 2 sec2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
What is the antiderivative of sin2x?
The antiderivative of sin2 x is x/ 2 – (sinx cosx) / 2.
What is the antiderivative of Cos 3x?
The antiderivative of cos 3x is ∫cos 3x dx = (1/3) sin 3x + C, where C is the constant of integration. The integration of cos 3x can be determined using the substitution method and cos 3x formula.
What is the integral of cot 2x?
0:061:24Integral of cot^2(x) – YouTubeYouTube
What is the integral of SEC 3x?
5:306:04Integral of sec^3x – YouTubeYouTube
What is the period of csc 2x?
The basic period for y=csc(2x) y = csc ( 2 x ) will occur at (0,π) ( 0 , π ) , where 0 0 and π π are vertical asymptotes.
How do you integrate Secxtanx?
The integral of sec x tan x is calculated using the derivative of sec x. The formula for the integration of sec x tan x is given by ∫sec x tan x dx = sec x + C, where C is the constant of integration.
What is the integration of sec2x?
⇒I=∫sec2xdx=tanx+C.
What is the antiderivative of Sinx?
–cosx What is the antiderivative of sin. A lot of people just memorize that the antiderivative of sinx is simply –cosx.
What is the integral of sin 2x?
Answer: The integral of sin2x is x/2 – (sin2x)/4 + c .
What is cot 2x?
Cot2x formula is an important formula in trigonometry. It is mathematically written as cot2x = (cot2x – 1)/(2cotx). Cot2x identity is also known as the double angle formula of the cotangent function in trigonometry.
What is the integral of sec 2x?
Math2.org Math Tables: Table of Integrals
| cos x dx = sin x + C Proof | csc x cot x dx = – csc x + C Proof |
|---|---|
| sin x dx = -cos x + C Proof | sec x tan x dx = sec x + C Proof |
| sec2 x dx = tan x + C Proof | csc2 x dx = – cot x + C Proof |
What is the derivative of sec 2x?
The derivative of sec^2x is equal to 2 sec2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
Where is csc continuous?
The continuous curve obtained by free hand joining is the required graph of y = csc x. Properties of y = csc x: (i) The graph of the function y = csc x is not a continuous graph, but consists of infinite number of separate branches, the points of discontinuities are at x = nπ, where n = 0, ±1, ±2, ±3, ±4, ……………… .
What is the period of csc 4x?
The basic period for y=csc(4x) y = csc ( 4 x ) will occur at (0,π2) ( 0 , π 2 ) , where 0 0 and π2 π 2 are vertical asymptotes.
What is antiderivative of Secxtanx?
Here we have used method of integration by parts to calculate the antiderivative of sec x tan x. Hence to find the antiderivative of secxtanx we have to calculate the integral of secxtanx which is sec (x) + C where as C is any arbitary constant generated after integration.
What is the antiderivative of Sectan?
Since the derivative of sec(x) is sec(x)⋅tan(x) sec ( x ) ⋅ tan ( x ) , the integral of sec(x)⋅tan(x) sec ( x ) ⋅ tan ( x ) is sec(x) . The answer is the antiderivative of the function f(x)=sec(x)⋅tan(x) f ( x ) = sec ( x ) ⋅ tan ( x ) .
How do you integrate sec2x 2?
0:321:42Integration of sec^2 x/2 (Solution) – YouTubeYouTube
What is the antiderivative of sin 2x?
The antiderivative of sin2 x is x/ 2 – (sinx cosx) / 2.
How do you find the antiderivative of sin2x?
The integral of sin 2x dx is written as ∫ sin 2x dx and ∫ sin 2x dx = -(cos 2x)/2 + C, where C is the integration constant.
What is the Antiderivative of cot 2x?
0:061:24Integral of cot^2(x) – YouTubeYouTube
What is the antiderivative of Secx?
The integral of sec x is ln|sec x + tan x| + C. It denoted by ∫ sec x dx. This is also known as the antiderivative of sec x.