Let \alpha and \beta(\alpha< \beta) are roots of 18 x^{2}-9 \pi x+\pi^{2}=0, f(x)=x^{2}, g(x)=\cos x. Then \int_{\alpha}^{\beta} x(g \circ f(x)) d x=

Correct Answer is : 12(sinπ29−sinπ236)

\frac{1}{2}(\sin \frac{\pi^{2}}{9}-\sin \frac{\pi^{2}}{36})

AP EAPCET 04-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 75 of 160

Marks: +1, -0

Let α and β(α<β) are roots of 18x2−9πx+π2=0,f(x)=x2,g(x)=cos‌x. Then

∫

x(g∘f(x))dx=

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