微积分问题~~急需~！ 要过程（30分!）好的再给加10分！

1. sketch the region bounded by functions y = 1/x, y = x, y = 0 and x = 4, then find the area of the region.

2. sketch the region bounded by the functions y = -2x + 3, y = x^2 and the y-axis with x≥0. Then, using either the disk or shell method set up but do not evaluate the integral representing the volume of the solid generated by revolving the region about the
a.x-axis b.y-axis c.the line x = 1 d.the line y = 3

3.find the length of the line segment joining the origin and the point (1,2)
a. by using the Pythagorean Theorem (i.e. the Distance Formula)
b. by integrating

4. triangle ABC, <C=90`, AC = 5 ft, BC = 3 ft. The figure is the vertical side of a form for poured concrete that weighs 140.7 pounds per cubic foot. Determine the force on this part of the concrete form.

5. ∫e^x / √(10+e^x) dx

6. ∫(π/2, 0) e^sinx*cosx dx

7. ∫ 1/(xln(x^3)) dx

8. ∫ 3/(1+9x^2) dx