# Inequalities – Property III

Inequalities – Property III Property: Proof: , , , , , Example: Estimate the absolute value of the integral . Solution: …(i) But , , …(ii) From equation (i) and (ii) , , , , , Therefore, the approximate value of the integral = . Share Tweet View Email Print Follow

# Inequalities – Property 1

Inequalities – Property 1 Property: If at every point x of an interval [a, b], the inequalities are fulfilled, then , where a < b. Proof: In fig. Area of curvilinear trapezoid aAFb ≤ Area of curvilinear trapezoid aBEb ≤ Area of curvilinear trapezoid aCDb i.e., Example: Prove that Solution: Hence Share Tweet View Email Read more about Inequalities – Property 1[…]

# Evaluation of Trigonometric Limits – Tan

Evaluation of Trigonometric Limits – Tan , Proof: , , , , , , , Hence proved Example: Evaluate , Solution: , , , , Let us consider , , , = a/2 Share Tweet View Email Print Follow