Posted by Lee on Saturday, January 7, 2012 at 4:52pm.
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
More 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 ...
- Physics - A motor takes 5 s to go from 30 rad/s to 130 rad/s at constant angular...
- 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 ...
- physics - The table that follows lists four pairs of initial and final angles of...
- trig - Perform the basic conversion. Give exact answers i)0 degrees = ____ rad ...
- Physics - A wheel accelerates from rest to 59 rad/s at a rate of 58 rad/s^2 What...
- Physics - An ice skater, has a rotational inertia of I = 4 kg m2, and spins at 2...