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I have just begun my 2nd calculus course and so far have just been applying the substitution method for solving anti derivatives and other basic rules.

I have a question that is probably very easy to answer.

Is $\displaystyle\int \left(\sin^2x + \cos^2x\right)\;dx = \int 1 \; dx$ ?

Thanks, Sam

  • 3
    Pythagorean Theorem... (yes, just with algebra: $\sin^2 x+\cos^2 x=1$).2012-02-08
  • 4
    The trigonometric identities that you probably learned in previous years still apply to your calculus course...2012-02-08
  • 2
    But you'll probably make your teacher happier if you put in some parentheses: $\int(\sin^2x+\cos^2x)\,dx=\int1\,dx$.2012-02-08

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