Find the area under the curve

Given the gradient function of a curve is 4x-1. Find the equation of a curve if it passes through the point (-1,6)

Evaluate the definite integral.

Find the area indicated by the following integral

Which definite integral models the area highlighted above?

 $\int_0^1f\left(x\right)dx\$  is

 $\int_1^3f\left(x\right)\ dx$   is

Using the areas of each region given
 $\int_a^df\left(x\right)=$  

Which integral has the largest value?