Integration by Parts Practice Problems Online

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

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

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

\[ \frac{2}{3}x(x+19)^{\frac{3}{2}} - \frac{4}{15}(x+19)^{\frac{5}{2}} + C \] \[ \frac{2}{3}x(x+19)^{\frac{5}{2}} - \frac{2}{15}(x+19)^{\frac{5}{2}} + C \] \[ \frac{1}{3}x(x+19)^{\frac{3}{2}} - \frac{7}{15}(x+19)^{\frac{5}{2}} + C \] \[ \frac{2}{3}x(x+19)^{\frac{1}{2}} - \frac{4}{15}(x+19)^{\frac{5}{2}} + C \]

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

Evaluate the integral \(\displaystyle{ 43\int _{ 0 }^{ 1 }{ \arctan x dx } },\) using \(C\) as the constant of integration.

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