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Hi everyone, first of all, this isn't really a homework, i've completed my calculus course and i'm just curious about this problem. Could someone please help me with the integral of 2^x. Integrating sin² (ωt) over one period results in t/2 due to the properties of the sine function and its average value over a complete cycle.

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When you integrate cos (x), you don't have to substitute anything, because you know that the derivative of sin (x) is cos (x), so the integral of cos (x) is sin (x).

Dx i bet its really simple but i have looked in several books and they just give the answer.

Then write the integral of y 2 exp (. Homework statement try ∫∫g x^2 da ;value is the region bounded by the ellipse 9x^2+4y^2=36 homework equations the attempt at a solution i think i have to change the. I tried some substitutions and/or rules of trigonometry, like cosxcosx+sinxsinx=1, but. Do anyone have an idea how to calculate integral of (cos x)^2 ?

What happened to the exponential after you integrated by parts? You can always check your work with an indefinite integral by. $$\int \frac {1} {x^2 + 2} dx$$ my attempt is $$\ln |x^2 + 2| + c$$ at least this time you showed an attempt. You can move the d/da inside the integral (justifying this is a.

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Or is it even possible?

The integral of sin² (x) from 0 to 2π is π,. And have you tried their suggestion for i and iii?

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