Integration

Question 30

Integrate $\int_{-1}^{2}{(2{{x}^{2}}+x)dx}$

Evaluate $\int{\sin 3xdx}$

If $\frac{dy}{dx}=2x-3$and y = 3 when x = 0. Find y in terms of x

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

Evaluate $\int{(\sin x-5{{x}^{2}})dx}$

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

Evaluate $\int{(\cos 4x+\sin 3x)dx}$

Integrate $\frac{2{{x}^{3}}+2x}{x}$ with respect to x

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

Evaluate $\int{\sin 4xdx}$