Integration by Parts

JEE Main Mathematics · Indefinite Integration · 2 questions, latest first

• Let ∫ x^3 sin x d x=g(x)+C, where C is the constant of integration. If 8(g((π)/2)+g^′((π)/2))=α π^3+β π^2+γ, α, β, γ ∈ Z, then…202523 January, Shift 2 · Q17
• Let I(x)=∫ (x^2(x sec^2 x+ tan x))/((x tan x+1)^2) d x. If I(0)=0, then I((π)/4) is equal to20236 April, Shift 1 · Q11