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Mathematics · JEE | APPLICATION OF INTEGRALS

हिन्दी

What is the area of the region bounded by the curve \( y = f(x) \), x-axis, and ordinates \( x = a \) and \( x = b \) (\( b > a \))?

  1. A
    \( \int_{a}^{b} x dy \)
  2. B
    \( \int_{a}^{b} y dx = \int_{a}^{b} f(x) dx \)
  3. C
    \( \int_{a}^{b} f(y) dy \)
  4. D
    \( \int_{a}^{b} y dy \)
View Answer & Solution

Correct answer · Option B

\( \int_{a}^{b} y dx = \int_{a}^{b} f(x) dx \)

Explanation

The standard formula for area under a curve using vertical strips is \( \int_{a}^{b} y dx = \int_{a}^{b} f(x) dx \).
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