answersLogoWhite

0


Best Answer

∫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

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the anti derivative of cscxcotx?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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


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 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


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.