Integral Practice

CSC-212 · Semester III · Numerical Methods

Definite integral of a line

Guided practice — solve each problem, check, then generate a fresh one.

Score 0 / 0

Formula to apply

∫₀ᵇ (a x + c) dx = a·b²/2 + c·b

Problem

Evaluate ∫ from 0 to 6 of (4x + 1) dx.

Working

  1. 1Antiderivative: F(x) = 2x² + 1x.
  2. 2F(6) = 72 + 6 = 78.
  3. 3F(0) = 0, so ∫ = F(6) − F(0) = 78.