Using the substitution u = t - 1/t, the integral ∫ (t² + 1)/(t⁴ + 1) dt reduces to

Lagos State University MAT102 2014 past question

1. ∫ du/(u² + 1)
2. ∫ du/(u² + 2)
3. ∫ du/(u² + 3)
4. ∫ du/(u² + 4)

Register free to see the answer and step-by-step explanation

More Lagos State University MAT102 2014 past questions

Related questions

• The rate of change of the area of a circle with respect to its radius is
• Let F(x) = ∫₁ˣ (t³ - 4t² + t + 2) dt. Find F′(4).
• Compute ∫₄⁹ (1/√t) dt.
• Evaluate limₙ→∞ (10n² - 3n + 7)/(2n + 6)².
• Compute [f(2 + h) - f(2)]/h, where f(x) = 2x² - x + 3.
• Compute f′(1) where f(x) = 2√(3x² - 4x + 5).