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📐 Mathematics  ·  Integrals  ·  JEE

Evaluate: integral of 3x² dx

Answer: x³ + C.

  • A 6x + C
  • B x³ + C
  • C 3x³ + C
  • D 3x + C

Correct answer: B. x³ + C

Explanation: Integral of 3x² = 3 × x³/3 = x³ + 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 →