
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 7.8
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Ex 7.8, 21 (MCQ) Important
Ex 7.8, 22 (MCQ)
Last updated at May 29, 2023 by Teachoo
Ex 7.8, 4 β«_0^(π/4)βsinβ‘2π₯ππ₯ Let F(π₯)=β«1βγπ ππ 2π₯ ππ₯γ =1/2 (βπππ 2π₯) =(β1)/( 2) πππ 2π₯ Hence, F(π₯)=(β1)/( 2) πππ 2π₯ Now, β«_0^(π/4)βγπ ππ2π₯ ππ₯γ=πΉ(π/4)βπΉ(0) =(β1)/( 2) πππ (2 Γ π/4)β((β1)/( 2) πππ (2 Γ0)) =(β1)/( 2) πππ π/2+1/2 πππ 0 =(β1)/( 2) Γ0+1/2 Γ1 = π/π