The questions are in the photo below: I would like them all solved correctly.

7. Below is the graph of a function y 2 x), with areas above and below the Iaxis as indicated. (a) What is the signed area under the graph of f(:c) over the interval [0, 6]? 6 (b) According to the definition of definite integral. what is / f(:r:) d3: ? 0 8. Sketch the region whose signed area is represented by the definite integral, and evaluate the integral using an appropriate formula from geometry, where needed. (a) f03|$2|d1: (b) forcosxdsc 6 9. Consider the definite integral I = 1 (4t + 3) dt . 2 (3) Calculate I by finding the signed area under the graph, using the formula for the area of a trapezium (base x average height). (b) Calculate I using Riemann sums