Integration of cos x: Ex 7

Ex 7.6, 9 (Method 1) ๐‘ฅ ใ€–c๐‘œ๐‘ ^(โˆ’1)ใ€—โก๐‘ฅ โˆซ1 ๐‘ฅ cos^(โˆ’1)โกใ€–๐‘ฅ ๐‘‘๐‘ฅใ€— Let x = cosโก๐œƒ dx = โˆ’ sinโกใ€–๐œƒ ๐‘‘๐œƒใ€— Substituting ... Here you will learn proof of integration of cosx or cos x and examples based on it. The integration of cosx is sinx + C. where C is the integration constant. i.e. \ (\int\) (cosx) dx = sin x + C. We will prove this formula using differentiation, Let \ (d\over dx\) (sin x + C) = \ (d\over dx\) sin x + \ (d\over dx\) C. Using differentiation formula, The integral of xcosx gives the area under the curve of the function f (x) = xcosx and gives different equivalent answers when evaluated using different methods of integration. The integration of xcosx is given by, โˆซxcosx dx = xsinx + cosx + C, where C is the integration constant, โˆซ is the symbol of integration and dx shows the integration of xcosx is with respect to x. In the next section, let us go through the formula for the integral of xcosx. Example 17 - Chapter 7 Class ...

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