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GATE | GATE MOCK 2017 | Question 11

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Find the Integral value of f(x) = x * sinx within the limits 0, π.

(A) π
(B) 2Ï€

(C) π/2

(D) 0


Answer: (A)

Explanation:
Let I = ∫x*sinx ———————————————————-> 1

I = ∫( Ï€-x)*sin(Ï€-x) = ∫(( Ï€-x)*sin(x) —————- 2

Adding both 1 and 2

=> I + I = ∫ Ï€*sinx = Ï€*[-cosx] = – Ï€*[cos Ï€ – cos0]

=> 2I = – Ï€*-2

=> I = π

The value of Integral is π


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Last Updated : 28 Jun, 2021
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