INTEGRATION BY PARTS WORKSHEET

(1)  Integrate the following with respect to x:

 9xe3x              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 e3x           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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