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📐 Mathematics  ·  Integrals  ·  JEE

Integral of eˣ dx =

Answer: eˣ + C.

  • A eˣ + C
  • B xeˣ + C
  • C eˣ/x + C
  • D x + C

Correct answer: A. eˣ + C

Explanation: Integral of eˣ = eˣ + C (exponential function is its own integral).

xyabArea = integral of f(x) dxRectangles approximate the area (Riemann sum)

The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.

Concept context

Indefinite and definite integrals, areas under curves

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