Home
Class 12
MATHS
Find by integration the area of the trap...

Find by integration the area of the trapezoid bounded by `y=4x=-3,y=0 ` and x=3 .Verify your result by finding the area of a trapezoid as the product of half the sum of the two parallel sides and the distance between them.

Text Solution

Verified by Experts

The correct Answer is:
10 square units
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Long Answer type Questions|31 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise MCQ|5 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Very short Answer type Questions|10 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that the area of a trapezium is half the sum of the parallel sides multiplied by the distance between them.

Find by integration the area of the triangle bounded by the lines 3x -2y =6,y=0 and x=4 Verify your result by using the definition or area of a triangle as half the product of the base and altitude

Find by integration the area of the triangle bounded by line 4y -5x =0 ,the x axis and the ordinate x =4 Verify your result by using the definition of area of a triangle as half the product of the base and the altitude.

The area of the region bounded by x^(2)+y^(2)-2x-3=0 and y=|x|+1 is

Find the area of the region bounded by y^2+xy+10|x|-100=0 in x-y plane

Using integration find the area the area bounded by the lines y= 4x+5,y=5-x and 4y =x+5

Find the area of the region bounded by the curves y =x^(2) +2, y =x, x =0 and x =3.

Find the area of the region bounded by the parabola y=x^(2) and y=| x|