Monday

July 28, 2014

July 28, 2014

Posted by **Cynthia** on Saturday, August 4, 2012 at 9:12pm.

A. 1/2Ln sin 2x+C

B. 1/2Ln cos 2x+C

C. 1/2Ln sec 2x+C

D. 1/2LN csc 2x+C

- Calculus -
**MathMate**, Saturday, August 4, 2012 at 11:38pmFirst make the substitution

p=2x,

dp=2dx

dx=(1/2)dp

I=∫cot 2x dx

=∫cot(p)(1/2)dp

=(1/2)∫(cos(p)/sin(p))dp

=(1/2)∫d(sin(p))/sin(p)

=(1/2)ln sin(p) + C

Can you take it from here?

**Related Questions**

Calculus - Evaluate the indefinite integral integral sec(t/2) dt= a)ln |sec t +...

Calculus - I know how to do this problem, but I'm stuck at the arc length ...

calc - is the integral of 2x/(x^3-x) =-1/2ln(x+1)+1/2ln(x-1) I got this by doing...

Algebra - Express as a single Logarithm and Simplify: 2/3ln(x^2+1)+1/2ln(x^2-1)-...

ALGEBRA - Contract the expressions. That is, use the properties of logarithms to...

ALGEBRA - Contract the expressions. That is, use the properties of logarithms to...

Algebra 2 - e^(x-2)-12^(2x+3)=0 Class is a college level math prep. Sorry for ...

Cal II - express integrand as sum of partial fractions and evaluate the integral...

Differential Equations (Another) Cont. - For the following initial value problem...

calc - is the integral of xln(x)dx= x^2/4(4ln(x)-4-2ln(x)+3)+C?