0
∫cscxcotx*dx
∫csc(u)cot(u)*du= -csc(u)+C, where C is the constant of integration
because d/dx(csc(u))=-[csc(u)cot(u)],
so d/dx(-csc(u))=csc(u)cot(u).
∫cscxcotx*dx
Let:
u=x
du/dx=1
du=dx
∫cscucotu*du= -csc(u)+C
Plug in x for u.
∫cscxcotx*dx= -csc(x)+C
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What is the anti derivative of negative sine?
The anti derivative of negative sine is cosine.
What is the anti-derivative of 0.003x?
.0015x2
What is the anti derivative of 5x?
2.5x2 + any constant
What is the relationship of integral and differential calculus?
We say function F is an anti derivative, or indefinite integral of f if F' = f. Also, if f has an anti-derivative and is integrable on interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a) Thirdly, Let F(x) be the definite integral of integrable function f from a to x for all x in [a, b] of f, then F is an anti-derivative of f on [a,b] The definition of indefinite integral as anti-derivative, and the relation of definite integral with anti-derivative, we can conclude that integration and differentiation can be considered as two opposite operations.
What is the anti derivative of lnx?
x (ln x + 1) + Constant
How do you find the derivative of - csc x - sin x?
d/dx (-cscx-sinx)=cscxcotx-cosx
How do you take the derivative of a trig function?
Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x
What is the derivative of -cscxcotx?
Using the u substitution method of derivation (selecting sinx as u and cosxdx as du), you get f'(x)=cscx.
What is the anti derivative of negative sine?
The anti derivative of negative sine is cosine.
What is the anti-derivative of 0.003x?
.0015x2
What is the difference between integration and anti-derivatives?
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
What is the anti derivative of 2x?
x squared
What is the anti derivative of e3x?
anti derivative of ax^n is (a/n+1)x^(n+1) a is a const n is power of variable and answere6x^2
An anti derivative of f(x) 5x43 plus 8x54 is?
find anti derivative of f(x) 5x^4/3 + 8x^5/4
What is the anti derivative of x squared plus x?
The anti-derivative of X2 plus X is the same as the anti-derivative of X2 plus the anti-derivative of X. The anti derivative of X2 is X3/3 plus an integration constant C1 The anti derivative of X is X2/2 plus an integration constant C2 So the anti-derivative of X2+X is (X3/3)+(X2/2)+C1+C2 The constants can be combined and the fraction can combined by using a common denominator leaving (2X3/6)+(3X2/6)+C X2/6 can be factored out leaving (X2/6)(2X+3)+C Hope that helps
What is the anti derivative of 5x?
2.5x2 + any constant
What is the anti-derivative of co secant x?
According to Wolfram Alpha, input:integral csc x it is -log[cot(x) + csc(x)] + constant You can verify this by taking the derivative of the purported integral.
