Inequalities in Definite Integrals

JEE Main Mathematics · Definite Integration · 3 questions, latest first

• Let I=∫_π / 4^π / 3((8 sin x- sin 2 x)/x) d x. Then202227 July, Shift 1 · Q8
• Let g(x)=∫_0^x f(t) dt, where f is continuous function in [0,3] such that 1/3 ≤ f(t) ≤ 1 for all t ∈[0,1] and 0 ≤ f(t) ≤ 1/2 for…202118 March, Shift 2 · Q71
• If I=∫_1^2 (d x)/(√(2 x^3-9 x^2+12 x+4)), then:20208 January, Shift 2 · Q61