Questions

1 / 10

Time
Score

00

Finding integrals by integration by parts

complete x(Tan1x)dx\int_{ }^{ }x\left(Tan^{-1}x\right)dx =

Complete e3x(2sinxcosx)xdx\int_{ }^{ }\frac{e^{3x}\left(2\sin x-\cos x\right)}{x}dx =

Fill in the blank:xcosxdx\int_{ }^{ }x\cos xdx =...........

Complete x3cosxdx\int_{ }^{ }x^3\cos xdx =

complete ex(cosxsinx)dx=\int_{ }^{ }e^{-x}\left(\cos x-\sin x\right)dx=

Complete t2.lntdt =\int_{ }^{ }t^2.\ln tdt\ =

Fill in the blank:x2sinxdx=........\int_{ }^{ }x^2\sin xdx=........

Complete ex(sinx+cosx)dx\int_{ }^{ }e^x\left(\sin x+\cos x\right)dx =

Complete sin1xdx=\int_{ }^{ }\sin^{-1}xdx=

Fill in the blank:x3lnxdx=.......\int_{ }^{ }x^3\ln xdx=.......