Maths · Evaluation of definite integrals

Evaluate the following as the limit of sum : d x \)

Evaluate the following as the limit of sum : \( \int_{0}^{2}(x+4) d x \)

  • A. 4
  • B. 6
  • C. 8
  • D. 10

Step-by-step solution

The definite integral ∫_0^2 (x+4) dx is evaluated as the antiderivative (1/2)x^2 + 4x from 0 to 2, giving (1/2)(2^2) + 4(2) - (0) = 2 + 8 = 10.
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