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📐 Mathematics  ·  Integrals  ·  JEE

Integral of x⁰ dx =

Answer: x + C.

  • A 0 + C
  • B x + C
  • C 1 + C
  • D x²/2 + C

Correct answer: B. x + C

Explanation: x⁰ = 1. Integral of 1 = x + C.

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

Read the full Integrals notes →