Results 1 to 4 of 4

Math Help - Trig Derivative - # 5

  1. #1
    Senior Member
    Joined
    Oct 2012
    From
    USA
    Posts
    275
    Thanks
    1

    Trig Derivative - # 5

    \int \cos\sqrt{7t} dt

    \int \cos(7t)^{1/2} dt

    \int \cos (u)^{1/2} dt

    u = 7t

    du = 7

    \dfrac{1}{7}du = dt

    \dfrac{1}{7}\int \cos u^{1/2}

    \dfrac{1}{7}\int \dfrac{\sin u^{3/2}}{\dfrac{3}{2}} + C

    (\dfrac{1}{7})(\dfrac{2}{3})\int \sin u^{3/2} + C

    (\dfrac{1}{7})(\dfrac{2}{3})\int \sin u^{3/2} + C

    \dfrac{2}{21}\int \sin u^{3/2} + C

    \dfrac{2}{21}\int \sin 7t^{3/2} + C
    Last edited by Jason76; October 22nd 2013 at 11:53 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    826
    Thanks
    209

    Re: Trig Derivative - # 5

    Trig Derivative - # 5-23-oct-13-2.pngClick image for larger version. 

Name:	23 Oct 13 - 2.png 
Views:	4 
Size:	16.2 KB 
ID:	29554
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Oct 2012
    From
    USA
    Posts
    275
    Thanks
    1

    Re: Trig Derivative - # 5

    I don't think integration by parts is the way, since it's only a Calculus I class. On that homework, we haven't even gotten to substitution yet.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    826
    Thanks
    209

    Re: Trig Derivative - # 5

    Trig Derivative - # 5-23-oct-13-3.pngClick image for larger version. 

Name:	23 Oct 13 - 3.png 
Views:	1 
Size:	14.5 KB 
ID:	29555
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: October 17th 2012, 06:51 AM
  2. [SOLVED] trig derivative
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 13th 2011, 05:22 PM
  3. Trig Derivative Q
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 17th 2010, 05:40 PM
  4. Trig Derivative
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 11th 2009, 06:52 PM
  5. Please help me with a trig derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 30th 2007, 01:38 PM

Search Tags


/mathhelpforum @mathhelpforum