Question

someone please help me with integrating with trig substitution!!!

Answer 1

ill try...

Answer 2

how would i do a question like this...

Answer 3

\[\int\limits_{}^{(}x^2)/\sqrt(25-x^2)dx\]

Answer 4

ignore bracket above integral, my mistake

Answer 5

25dx(sin theta)^2/5(cos theta)

so 5dx(sin theta)^2/cos(theta)

take out 5 ... dx(sin theta)^2/cos(theta)

integration by part...let u = (sin theta)^2 dv = cos(theta)
du = 2(sin theta) v = sin theta

(sin theta)^3 - integral( 2 (sintheta)^2
sin theta^3 - 2/3 (sin theta)^3

LCD...

3sin theta ^3 - 2 sin theta ^3 all over 3
(sin theta ^3)/3

just substitute back to x