Find $\int 4\ln xdx$.

Find $\int 3\ln xdx$.

For $\int x{\sec }^{2}xdx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?

Find $\int 3x^2{e}^{x}dx$.

Evaluate ${\int }_0^{2\pi }2x\sin xdx$, with $x$ in radians.

For $\int x{e}^{x}dx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?

Find $\int 6x{e}^{4x}dx$.

Find $\int 4x^2{e}^{x}dx$.

Find $\int x{e}^{2x}dx$.

Find $\int 5x\cos xdx$, with $x$ in radians.

Evaluate ${\int }_0^{1}x{e}^{x}dx$.

Find $\int 2x{e}^{-x}dx$.

Find $\int 2x\sin xdx$, with $x$ in radians.

Find $\int x{e}^{3x}dx$.

For $\int x\sin xdx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?

Find $\int 6x\cos xdx$, with $x$ in radians.

For $\int {\tan }^{-1}xdx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?

Find $\int 3{\tan }^{-1}xdx$.

For $\int x\cos xdx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?

Find $\int 4x^2\cos xdx$, with $x$ in radians.

Find $\int 6x^2\cos xdx$, with $x$ in radians.

Find $\int 3x^2\cos xdx$, with $x$ in radians.

Find $\int 8x\sin xdx$, with $x$ in radians.

Find $\int 5\ln xdx$.

Evaluate ${\int }_0^{1}3x{e}^{x}dx$.

Evaluate ${\int }_0^{\pi }5x\cos xdx$, with $x$ in radians.

Find $\int 2x\cos xdx$, with $x$ in radians.

Evaluate ${\int }_0^{\pi }3x\cos xdx$, with $x$ in radians.

Find $\int 4x{e}^{-x}dx$.

For $\int x^2{e}^{x}dx$, which choice of $u$ and $dv$ makes the integral remaining after one application of $\int udv=uv-\int vdu$ SIMPLER than the original?