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What is the Antiderivative of CSC?
The antiderivative of csc2x is −cotx+C .
Beside this, what is the integration of Cscx?
Integration basically undoes finding the derivative of an expression. That is, if a is the integral of b, then the derivative of a is b. We can use this fact to check our answer. We found that -ln |cscx + cotx| + C is the integral of cscx.
Likewise, what is the integral of CSC 2? Answer and Explanation: The integral of csc2 (x) is -cot(x) + C, where C is any constant.
Also Know, what is the derivative of CSC?
(Math | Calculus | Derivatives | Table Of)
| sin x = cos x Proof | csc x = -csc x cot x Proof |
|---|---|
| cos x = - sin x Proof | sec x = sec x tan x Proof |
| tan x = sec2 x Proof | cot x = - csc2 x Proof |
What is the Antiderivative formula?
An antiderivative of a function f(x) is a function whose derivative is equal to f(x). That is, if F′(x)=f(x), then F(x) is an antiderivative of f(x). x33,x33+1,x33−42,x33+π. x33+c,where c is a constant.
Related Question Answers
What is CSC equal to?
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .How do you integrate CSC?
Integral csc(x) csc x = - ln|csc x + cot x| + C.What is CSC in math?
Cosecant (csc) - Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just 'csc'. They can be easily replaced with derivations of the more common three: sin, cos and tan.What is Cscx?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .How do you integrate CSC 3x?
Through the Pythagorean identity, write cot2x as csc2x−1 . Note that I=∫csc3xdx and ∫cscxdx=−ln(|cotx+cscx|) . Add the original integral I to both sides.What is the integral of sin?
So the integral of cos(x) = sin(x) and the integral of -sin(x) = cos(x). Therefore, it follows that the integral of -cos(x) = -sin(x) and the integral of sin(x) = -cos(x).What is the derivative of CSC 2x?
Math2.org Math Tables: Table of Derivatives| sin x = cos x Proof | csc x = -csc x cot x Proof |
|---|---|
| cos x = - sin x Proof | sec x = sec x tan x Proof |
| tan x = sec2 x Proof | cot x = - csc2 x Proof |
What is the CSC of?
Cosecant (csc) - Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just 'csc'.What is the derivative of tan 2x?
ddx(tan(2x)) will simply be sec2(2x)⋅ddx(2x) according to the chain rule.What is CSC the inverse of?
So the inverse of csc is arccsc etc. When we see "arccsc A", we interpret it as "the angle whose cosecant is A". Means: The angle whose cosecant is 2.0 is 30 degrees.What is CSC trigonometry?
Cosecant (csc) - Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just 'csc'. They can be easily replaced with derivations of the more common three: sin, cos and tan.What are the Antiderivative rules?
To find antiderivatives of basic functions, the following rules can be used:- xndx = xn+1 + c as long as n does not equal -1. This is essentially the power rule for derivatives in reverse.
- cf (x)dx = c f (x)dx.
- (f (x) + g(x))dx = f (x)dx + g(x)dx.
- sin(x)dx = - cos(x) + c.
