Evaluate $\int\limits_{0}^{1}{{{(2x+1)}^{2}}dx}$

Evaluate $\int{\sin 4xdx}$

Evaluate $\int{{{(2x+3)}^{\tfrac{1}{2}}}dx}$

Evaluate $\int{\sin 2xdx}$

$\text{Evaluate }\int_{0}^{\tfrac{\pi }{4}}{\sin xdx}$

$\begin{align}  & \text{Integrate }\left( \frac{1+x}{{{x}^{3}}} \right)dx \\ & \text{(A) }-\frac{1}{2{{x}^{2}}}-\frac{1}{x}+k\text{  (B) }-\frac{{{x}^{2}}}{2}-\frac{1}{x}+k\text{   (C) }{{x}^{2}}-\frac{1}{x}+k\text{   (D)  }2{{x}^{2}}-\frac{1}{x}+k \\\end{align}$

Evaluate $\int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }$

Evaluate $\int_{1}^{2}{({{x}^{2}}-4x)dx}$

Find $\int{\cos 4xdx}$

Evaluate $\int\limits_{0}^{1}{(3-2x)dx}$