19.25. Let C be the boundary of a square whose sides lie along the lines +3 and y the following integrals by using CIF or the derivative formula (19.10): x = +3. For the positive sense of integration,...


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19.25. Let C be the boundary of a square whose sides lie along the lines<br>+3 and y<br>the following integrals by using CIF or the derivative formula (19.10):<br>x =<br>+3. For the positive sense of integration, evaluate each of<br>(a) f<br>e<br>COS Z<br>(b) P z(22 + 10)<br>dz. (c) PTz- i)(2²<br>dz.<br>10)<br>dz.<br>in /2<br>sinh z<br>dz.<br>z4<br>cosh z<br>dz.<br>24<br>COS Z<br>dz.<br>23<br>(d)<br>(e)<br>(f)<br>(1) f<br>COS Z<br>COs z<br>(g)<br>dz.<br>Sc (2 – in/2)²<br>(h)<br>(i)<br>dz.<br>dz.<br>C z + iT<br>cosh z<br>e(L? – 2)<br>sinh z<br>(k) P.T= - in/2)²<br>ez<br>(j)<br>dz.<br>22 – 5z + 4<br>dz. (1) $ 7<br>dz.<br>(z – T/2)2<br>22<br>(m) P. Tz- 2)(2² – 10)<br>dz.<br>

Extracted text: 19.25. Let C be the boundary of a square whose sides lie along the lines +3 and y the following integrals by using CIF or the derivative formula (19.10): x = +3. For the positive sense of integration, evaluate each of (a) f e COS Z (b) P z(22 + 10) dz. (c) PTz- i)(2² dz. 10) dz. in /2 sinh z dz. z4 cosh z dz. 24 COS Z dz. 23 (d) (e) (f) (1) f COS Z COs z (g) dz. Sc (2 – in/2)² (h) (i) dz. dz. C z + iT cosh z e(L? – 2) sinh z (k) P.T= - in/2)² ez (j) dz. 22 – 5z + 4 dz. (1) $ 7 dz. (z – T/2)2 22 (m) P. Tz- 2)(2² – 10) dz.

Jun 04, 2022
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