Find the area of the indicated region for the following problems: Between 12x 2

Question

Find the area of the indicated region for the following problems:

Between 12x2 and 6x-10 for x in [2,6]

Between ex and 15x for x in [1,2]

Enclosed by y=3x2 and y= X^2+ 8

Enclosed by y=6x and y=5x2

Pleasse some one help!!!

Explanation / Answer

1) in [2,6] 12x^2 > 6x-10 area = integration of (12x^2-6x+10)dx from 2 to 6 = 4*216-3*36+10*6-4*8+3*4-10*2 = 776 2) similarly for second one area = int (15x-e^x)dx = 15*4/2-e^2-15/2+e = 17.83 3) 3x^2 = x^2 + 8 x^2 = 4 x = -2 or +2 area = int (x^2+8-3x^2)dx from -2 to 2 = 64/3 4) 6x = 5x^2 x = 0 or 6/5 area = int (6x - 5x^2)dx from 0 to 6/5 = 1.44

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.