Evaluate $\int{{{\sec }^{2}}\theta }d\theta $

Evaluate $\int_{1}^{2}{(6{{x}^{2}}-2x)dx}$

Determine the value of $\int\limits_{0}^{\tfrac{\pi }{2}}{(-2\cos x)dx}$

Integrate $\frac{{{x}^{2}}-\sqrt{x}}{x}$ with respect x

If $\frac{dy}{dx}=x+\cos x$ find y 

Evaluate $\int_{-4}^{0}{(1-2x)dx}$

The gradient of a curve is 2x + 7 and the curve passes through point (2,0). Find the equation of the curve

Evaluate $\int_{0}^{\tfrac{\pi }{2}}{\sin 2xdx}$

Find the area of the figure bounded by the given pair of curves $y={{x}^{2}}-x+3$and y =3

Evaluate $\int_{2}^{3}{({{x}^{2}}-2x)dx}$