Question

if 0 < k 15 years ago

Answer 1

use equation option

Answer 2

\[\int\limits_{0}^{k} \cos(2x) dx =1/2\]
thats what i meant

Answer 3

[sin(2k)/2]-sin(0/2)=sin(2k)/2=1/2
sin(2k)=1
2k=[\pi/2\]
so k=\[\pi/4\]

Answer 4

why do you divide by 2?

Answer 5

as you have 2x

Answer 6

in more detail
put 2x=t..........(1)
now differentiate both sides
2dx=dt
dx=dt/2
and limits will change like this
t=0 at x=0 .......from (1)
t=2k

Answer 7

now solve interms of t

Answer 8

t is a random variable or what does it stand for?

Answer 9

random

Answer 10

sorry i dont get it still, i guess cause thats not how they have taught us over here...um are you showing me the antiderivative?

Answer 11

what's ur country name?

Answer 12

United States of America

Answer 13

k i was showing u the antiderivative

Answer 14

ohh ok.. i was told to add one to the power and divide by the new power, is that what you did?

Answer 15

it in the case of polynomial
i mean sometjing like....x^2 or x^100

Answer 16

um ok?

Answer 17

if you have sin (polynomial of degreee 1) or cos(polynomial of degree 1)
then simply do integretion 4 sin(x) or cos(x)
then divide it by integretion of polynomial

Answer 18

thats why you divided by 2 since it was in the polynomial?

Answer 19

sorry its late and im a sort of slow now

Answer 20

ok add me as fan

Answer 21

lol

Answer 22

your last name is patel?

Answer 23

a friend of mine in calculus is last named patel he is from india, in any way related? i know big world but we found a cousin of his in a math competition lol

Answer 24

no i don't know him but i m also from INDIA

Answer 25

i guess its a popular last name from over there

Answer 26

yep

Answer 27

what's ur full name

Answer 28

mine?

Answer 29

yeah!

Answer 30

benjamin vasquez

Answer 31

got it
any more q benjamin

Answer 32

nope! thank you so much