Elements of the Differential And Integral Calculus With Applications
Elements of the Differential And Integral Calculus With Applications
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In our eReader you can find the full English version of the book. Read Elements of the Differential And Integral Calculus With Applications Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of the Differential And Integral Calculus With Applications
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Ans. Sin x — sin^ a; + | sin^ ^ ~ T sin^ a;. . J cot* a; da?. Ans. — -^cot^aj^ cota; + a;.
11. Rcos*a;da;= r(|4-icos2a;)2da; = Ja; + isin2x4-i rcos'(2a;)c?(2a;) = Ja; + Jsin2a; + \ [x + Jsin4a;] = fa; + ^sin2a; + ■ji2^sin4a;.
Art. 34. Definite Integrals.
It was shown in Art. 32, that an arbitrary constant must be added after each integration. Before the value of this constant is determined, the integral is said to be indefinite.
If, from the data of the given problem, the value of the integral ...is known for some particular value of the variable, the constant can be determined by substituting this value of the variable in the indefinite integral.
For example, let ds — = gt -\-v', m which g and v' are constants.
10 50 DIFFERENTIAL AND INTEGRAL CALCULUS.
By integrating and adding the constant C, ^^ Now if S = S' when t = 0, C will be equal to S', and. S = igt^-{-v't-\-S'.
If, in any indefinite integral, two different values of the variable be substituted for the variable, and the result given by the second substi- tution be subtracted from the first result, the constant of integration is eliminated, and the integral is said to be taken between limits.
What to read after Elements of the Differential And Integral Calculus With Applications?
You can find similar books in the "Read Also" column, or choose other free books by William S William Shaffer Hall to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Ans. Sin x — sin^ a; + | sin^ ^ ~ T sin^ a;. . J cot* a; da?. Ans. — -^cot^aj^ cota; + a;.
11. Rcos*a;da;= r(|4-icos2a;)2da; = Ja; + isin2x4-i rcos'(2a;)c?(2a;) = Ja; + Jsin2a; + \ [x + Jsin4a;] = fa; + ^sin2a; + ■ji2^sin4a;.
Art. 34. Definite Integrals.
It was shown in Art. 32, that an arbitrary constant must be added after each integration. Before the value of this constant is determined, the integral is said to be indefinite.
If, from the data of the given problem, the value of the integral ...is known for some particular value of the variable, the constant can be determined by substituting this value of the variable in the indefinite integral.
For example, let ds — = gt -\-v', m which g and v' are constants.
10 50 DIFFERENTIAL AND INTEGRAL CALCULUS.
By integrating and adding the constant C, ^^ Now if S = S' when t = 0, C will be equal to S', and. S = igt^-{-v't-\-S'.
If, in any indefinite integral, two different values of the variable be substituted for the variable, and the result given by the second substi- tution be subtracted from the first result, the constant of integration is eliminated, and the integral is said to be taken between limits.
What to read after Elements of the Differential And Integral Calculus With Applications?
You can find similar books in the "Read Also" column, or choose other free books by William S William Shaffer Hall to read onlineMoreLess
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