Integration..help please!!
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Integration..help please!!

[From: ] [author: ] [Date: 11-12-31] [Hit: ]
............
.....ln (3)..................ln^2 (3)...........ln^2 (3)......ln (3)........ln (3)


...x^3[3^(x)]......3x^2[3^(x)].........… [3^(x)]..........6 [3^ (x)]
=---------------- - -------------------- + ------------------- - ------------------ + C
.....ln(3)..............ln^2(3)........… (3)........ln^3 (3) [ln (3)]



...x^3[3^(x)]......3x^2[3^(x)]........6… [3^(x)]..........6 [3^(x)]
=---------------- - -------------------- + ------------------- - ------------------ + C
.....ln(3)..............ln^2(3)........… (3)...............ln^4 (3)

...x^3[3^(x)].....3^(x + 1)x^2........2 x 3^(x + 1).......2 x 3^(x + 1)x
=--------------- - --------------------- - ----------------------- + ---------------------- + C
.....ln(3)............ln^2 (3)...........ln^4 (3).......................ln^3 (3)

...3^(x)[x^3ln^3(3) - 3x^2ln^2(3) + 6xln(3) - 6]
=--------------------------------------… + C answer//
....................ln^4 (3)

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Integrate by parts 3 times, letting u be x^3, x^2, and x and dv = 3^x dx at each step. Tedious but not difficult
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