Math, asked by AdiK1needy, 1 year ago

integrate the given functions with respect to x:
 (1) \\ \int  \cos(2x).dx
(2) \\  \int \cos(nx) .dx
answer fast with step wise explanation please.

Answers

Answered by dhruvsh
0
1) int. cos(2x) dx
= int. 2 sin x cos x dx

Since, sin 2x = 2 sin x cos x

So,
int. 2 sin x cos x = - 2x sin x cos x + c

where c is the integral constant.

AdiK1needy: 1. cos2x ≠ 2 sinx cosx
dhruvsh: ohh I'm very sorry
dhruvsh: i just got confused
AdiK1needy: your calculations is wrong
dhruvsh: wait a minute I'll just edit the answer
AdiK1needy: anyway thanks for looking my answer
dhruvsh: oh man you reported the answer
dhruvsh: how do i answer you now?
dhruvsh: alright man
AdiK1needy: when this answer gets deleted you can try answering another time I do it to give experts a chance other than the spammers
Answered by Anonymous
1

Answer:

1) int. cos(2x) dx

= int. 2 sin x cos x dx

Since, sin 2x = 2 sin x cos x

So,

int. 2 sin x cos x = - 2x sin x cos x + c

where c is the integral constant.

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