Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
reddwarfobsessedfreak
reddwarfobsessedfreak asked in Science & MathematicsMathematics · 1 decade ago

how do i intergarte tan^2 x and cos ^ 2 x?

i need to have you show me all the steps

3 Answers

Relevance
  • Engr. Ronald
    Lv 7
    1 decade ago
    Favorite Answer

    ∫tan^2(x)dx

    recall trigonometric Identity

    note tan^2(x)=sec^2(x)-1

    so

    =∫(sec^2(x)-1)dx

    =tan(x)-x+C answer//

    ∫cos^2(x)dx

    note using the Multiple-Measure Identites.

    ...............1+cos(2x)

    cos^2(x)=----------------

    ....................2

    ................cos(2x)

    =1/2∫dx +∫ ------------dx

    ....................2

    ....x......sin(2x)

    =-----+ ------------+C

    ....2.......2(2)

    ......x......sin(2x)

    =----------+----------+C answer//

    .....2............4

    Source(s): http://www.wolframalpha.com/input/?i=cos+^+2(x)
  • Mathematishan
    Lv 5
    1 decade ago

    tan ² x = sec² x -1

    Integral [ sec²x - 1] dx = tan x - x + constant

    cos ^ 2 x = {1 + cos 2x]/2

    integral {[1 + cos 2x]/2} = (1/2) [x + (1/2) sin 2x] + constant

  • ?
    Lv 5
    1 decade ago

    tan^2x=sec^2x-1

    cos^2x =(1/2)+(1/2)cos2x

    that is all you need.

Still have questions? Get your answers by asking now.