SOLUTION: 3cos^2 2x - 2sin^2 2x = 2 - 4sin2x find all the angles between 0degrees to 180degrees inclusive which satisfy equation --x-x-x-x-x-x-x-x-x-- express 1/ (x-3)(2x +1) as

Question 302828: 3cos^2 2x - 2sin^2 2x = 2 - 4sin2x
find all the angles between 0degrees to 180degrees inclusive which satisfy equation

--x-x-x-x-x-x-x-x-x--
express 1/ (x-3)(2x +1) as partial fractions
hence evaluate (cant really draw it out but.... evaluate definite integral 7 on top, 4 below. 1/(x-3)(2x +1)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let and to reduce the clutter,

Remember that

Substitute,

You can factor,

Two solutions:

.
.
.

I leave those to you to complete.
.
.
.
Partial fractions.

Multiply by

Leads to two equations,
1.
2.
Multiply eq.1 by 3 and add the two together to solve for A.

Then use either equation to solve for B.

If you integrate you'll get
INT= evaluated between and .
I leave those to you to complete.
RELATED QUESTIONS
Find all the angles between 0� and 360� inclusive which satisfy the equation 4sin2x -... (answered by ikleyn)

Find, to the nearest degree, the positive acute angle or angles that satisfy the... (answered by stanbon)

Find all values of x in [0degrees, 360 degrees) that satisfy the equation 2 sin(2x)... (answered by lwsshak3)

Find all the angles between 0� and 360� inclusive which satisfy the equation 4sin^2(x) -... (answered by htmentor)

Find all the angles between 0 degrees and 360 inclusive which satisfy the equation... (answered by stanbon)

Find all the angles between 0� to 360� inclusive which satisfy the equation i) 2cot^2x + (answered by chibisan)

8 sin^2 x + 3 sin 2x = 4 Solve for all angles btw 0 and 360 which satisfy the equation. (answered by ikleyn)

Cos x - 2sin^2x=1 find all real numbers that satisfy the equation (answered by stanbon)

verify identity... (answered by Gogonati)