INTEGRATION BY PARTS WORKSHEET

(1)  Integrate the following with respect to x:

 9xe^3x              Solution

(2)  Integrate the following with respect to x:

 x sin 3x              Solution

(3)  Integrate the following with respect to x:

 25 xe^-5x               Solution

(4)  Integrate the following with respect to x:

 x sec x tan x             Solution

(5)  Integrate the following with respect to x:

 x log x           Solution

(6)  Integrate the following with respect to x:

27x² e^3x           Solution

(7)  Integrate the following with respect to x:

x² cos x           Solution

(8)  Integrate the following with respect to x:

x³ sin x           Solution

(9)  Integrate the following with respect to x:

 x sin^-1x /√(1-x²)          Solution

(10)  Integrate the following with respect to x:

 x⁵ e^x²           Solution

(11)  Integrate the following with respect to x:

 tan^-1 (8x /1 - 16x²)          Solution

(12)  Integrate the following with respect to x:

 sin^-1 (2x /1 + x²)          Solution

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