Posted by **Lee** on Saturday, January 7, 2012 at 4:52pm.

Evaluate£º

¡Ò dy/(rad£¨4-y^2))=

- Calculus -
**Lee**, Saturday, January 7, 2012 at 5:19pm
Evaluate the indefinite integral

- Calculus -
**Steve**, Saturday, January 7, 2012 at 6:35pm
look into trig substitutions

let y = 2sinu

then 4 - y^2 = 4 - 4sin^2 u = 4 cos^2 u

and √(4 - y^2) = 2cos u

dy = 2 cosu du

and your integral is just

1/(2 cosu) * 2 cosu du = 1/2 du

integral(1/2) du = u/2 = (1/2) arcsin(y/2) + C

- Calculus - oops -
**Steve**, Saturday, January 7, 2012 at 6:37pm
oops - too many 1/2's there. integral(du) = u = arcsin(y/2)+C

## Answer This Question

## Related Questions

- Calculus - evaluate ¡Ò (Ln rad(x)) /x dx=
- physics - A 4.50-kg wheel that is 34.5 cm in diameter rotates through an angle ...
- Algebra 1 - When adding radicals, do you add two radicands together even if they...
- Physics - At t = 0, a wheel rotating about a fixed axis at a constant angular ...
- physics help - a particle moves uniformly around the circumference of a circle ...
- trig - Perform the basic conversion. Give exact answers i)0 degrees = ____ rad ...
- Physics - An ice skater, has a rotational inertia of I = 4 kg m2, and spins at 2...
- Physics - An ice skater, has a rotational inertia of I = 4 kg m2, and spins at 2...
- physics - a wheel is rotating at 30 rev/min. The angular velocity of the wheel ...
- Calculus - I am having trouble with these 2 problems. Evaluate: (1/x^9)dx ...

More Related Questions