Question

help me complete this question please..see attachment

Answer 1

okay did you write it yourself? dv= sin4x/4

Answer 2

you know about ILATE rule?
L: Logarithmic functions: ln x, logb x, etc.
I: Inverse trigonometric functions: arctan x, arcsec x, etc.
A: Algebraic functions: x2, 3x50, etc.
T: Trigonometric functions: sin x, tan x, etc.
E: Exponential functions: ex, 19x, etc.

Answer 3

so take x as u and cos4x as v... and apply integration by parts...

Answer 4

done uploading the attachment.

Answer 5

hey @vedic what is ILATE rule?

Answer 6

havent heard it before in my school.

Answer 7

its simple thng to remember which function to be taken as U and which to be taken as V ....

Answer 8

here it was algebraic * trigo
so acrding to rule algebraic frst and trigo second...

Answer 9

okay i just take the u and dv depending on my understanding in integration , still thanks. :D

Answer 10

hmm i learned it as liate... weird

Answer 11

its liate only just for easy understanding it is learnt as ilate..

Answer 12

I dont get that but ok sounds good:)

Answer 13

A rule of thumb proposed by Herbert Kasube of Bradley University advises that whichever function comes first in the following list should be u:[1]
L: Logarithmic functions: ln x, logb x, etc.
I: Inverse trigonometric functions: arctan x, arcsec x, etc.
A: Algebraic functions: x2, 3x50, etc.
T: Trigonometric functions: sin x, tan x, etc.
E: Exponential functions: ex, 19x, etc.

Answer 14

i dont get what u ave..cause u did not write the question correctly

Answer 15

Integral of cos4x dx = sin4x/4

differentiate sin4x/4 = ( 1/4* cos4x * 4) = cos4x dx

Answer 16

where did i go wrong???