Integration By Parts

Integration 1

100

∫4xe^xdx

4xe^x - 4e^x+c

200

∫e^2xx²dx

(1/2)x²e^2x - (1/2)xe^2x + (1/4)e^2x + C

300

∫-4xcos9xdx

-4/81cos9x - 4/9xsin9x +C

400

what is the Value of ∫3xlnxdx from [2,4] 

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20.1

Integration 2

100

∫(5x+4)e^-6xdx

-5/6xe^-6x - 29/36e^-6x +C

200

∫xe^-xdx

-xe^-x-e^-x+c

300

∫cos^-1xdx

xcos^-1x-√(1-x²) +C

400

What is the value of ∫ln4xdx from [1,3] 

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4.07

Integration 3

100

∫6xsinxdx

6sinx-6xcosx+C

200

∫y³e^-6y dy

-e^-6y [1/6y³+1/12y² +1/36y+1/216]+C

300

∫sin^-1dx

x sin^-1x + √(1 - x²) + C

400

What is the value of ∫xsin3xdx from [0,π]

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π/3 or 1.407