#bounded region

Integral Calculus 2

The area of the region bounded by the curve x = 9-y^2 and y-axis is

Look at it this way: solving fully: apply relevant formula, put numbers, compute. Result comes as None of these. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XII — Integrals

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Integral Calculus 2

Find the Area of the region (in square unit) bounded by the curve y = x – 2 and x = 0 to x= 4.

The trick is after simplifying, 4 sq. unit is left. The method is simple: formula → substitution → calculation → answer.

Ref: NCERT Mathematics Class XII — Integrals

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Integral Calculus 2

What is the area of the region bounded by the lines y = x, y = 0 and x = 4?

In easy words, solving fully: apply relevant formula, put numbers, compute. Result comes as 8 square units. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XII — Integrals

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Integral Calculus 2

The area bounded by the curve x = f(y), the y-axis and the two lines y = a and y = b is equal to:

Understanding this is easy: solving fully: apply relevant formula, put numbers, compute. Result comes as _a^b x dy. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XII — Integrals

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