TN Maths, 12th Chapter 9 Important Questions

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Class : XII

Subject : Maths

Chapter : 9

Chapter : Applications Of Integration

IMPORTANT QUESTIONS

      

2 & 3 Marks Questions

1.Evaluate 0ʃ ³(3x²-4x+5) dx

2. 0ʃ ¹ [2x] dx where [.] is the greatest integer function.

3.Find the area of the region bounded by the ellipse (x²/a²)+(y²/b²)= 1

4.Find the area of the region bounded between the parabola y² = 4ax and its latus rectum. 

5. Find the area of the region bounded by x-axis, the curve y= |cos x| , the lines x=0 and x=π.

5 Mark Questions

1. Find te area of the region bounded by y = cosx, y = sin x , the lines x = π/4 and x = 5π/4

2.Find the area of the region bounded between the parabola x²= y and the curve y = x

 

3. Find the area of the region in the first quardrant bounded by the parabola y²= 4ax, the line x+y =3 and y- axis.

4. Find the integration, the area of the region bounded by the lines 5x -2y = 15, x+y+4=0 and the x-axis.

5. Using integration, find the area of the region which is bounded by x-axis the tangent and normal to the circle x²+y²=4 drawn at (1,√3).

6. Find the area of the region bounded by 3x – 2y + 6 =0 ,x= -3 , x = 1 and x-axis.

7. Find the area of the region bounded by 2x-y+1=0 , y = -1 ,y = 3 and y axis.

8. Find the area of the region bounded by y=tanx , y= cot x and the lines x = 0, x = π/2, y =0

9. Find the area of the region bounded by the parabola y²= x and the line y = x – 2.

10. Show that 0 ʃ ¹ [tan-¹x+tan-¹(1–x)]dx = (π/2)-loge2

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