Calculus

Integration Techniques

Integration by Parts

         

Find the indefinite integral 43xlnxdx,\displaystyle{ 43\int{x \ln x dx} }, using CC as the constant of integration.

Evaluate the integral 128xcos3xdx,\displaystyle{ 128\int{x \cos 3x dx} }, using CC as the constant of integration.

Find the indefinite integral xx+19dx,\displaystyle{ \int{x \sqrt{x+19} dx} }, using CC as the constant of integration.

Evaluate the integral 67t2e3tdt,\displaystyle{ 67\int{t^2 e^{3t} dt} }, using CC as the constant of integration.

Evaluate the integral 4301arctanxdx,\displaystyle{ 43\int _{ 0 }^{ 1 }{ \arctan x dx } }, using CC as the constant of integration.

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