(\left( \integral\_{0}^{a}{xdx} \right))£ (a + 4), then – | MATH - FUNDAMENTAL DEFINITE INTEGRATION, DEFINITE INTEGRATION BY SUBSTITUTION | SolveeIt | Solveeit

Today, August 18

Question

$\left( \int_{0}^{a}{xdx} \right)$ £ (a + 4), then –

A

0 £ a £ 4

B

– 2 £ a £ 4

C

– 2 £ a £ 0

D

a £ – 2 or a ³ 4

Answer

– 2 £ a £ 4

Explanation

Solution

$(x^{2}/2)_{0}^{a}$ ฃ a + 4  a² ฃ 2a + 8 a²–2a–8ฃ 0

 (a – 4) (a + 2) ฃ 0  – 2 ฃ a ฃ 4