Simple Calculation without Integration

Q: Compute $tex_c4daf9d57e2efa5221e4602bd2c0cfd9 Simple Calculation without Integration$ without integration.

A: We know $tex_dfd4a603b66237fe73241006c91a7a82 Simple Calculation without Integration$ ,

Therefore, $tex_9eb4391d3baaa9f13dd212bdab4b8779 Simple Calculation without Integration$

$tex_5c287a7be6098018ce4c9f34c6646f2c Simple Calculation without Integration$

$tex_5b461caf2b131f9c3844af9e9b911913 Simple Calculation without Integration$

$tex_0f2d7f02df86f61bf4da7eae13fb3d7e Simple Calculation without Integration$

Therefore, $tex_21bcd35767a5ab5f16889d2c99a4dbb9 Simple Calculation without Integration$

The normal method:

$tex_b555883e0d41df3f477fe0d5bd467fe8 Simple Calculation without Integration$

$tex_8794baf75c12b3c5eceda2c43e600e2e Simple Calculation without Integration$

$tex_3fa1c8365635cb288a6baa9589e7f993 Simple Calculation without Integration$

$tex_c4daf9d57e2efa5221e4602bd2c0cfd9 Simple Calculation without Integration$

$tex_2148dd56d969c771b48fa9f6b56a3d8e Simple Calculation without Integration$

$tex_3d4a8d0f979a733ef278d17dbe681dd9 Simple Calculation without Integration$

$tex_773fc36b1b62eae66b050912b8256ee5 Simple Calculation without Integration$

$tex_b97753ad10974572ab2a2d0798802f45 Simple Calculation without Integration$

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