Chapter 7 Class 12 Integrals
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Ex 7.8, 7 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

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Ex 7.8, 7 ∫_0^(πœ‹/4)β–’γ€–π‘‘π‘Žπ‘› π‘₯〗⁑𝑑π‘₯ Step 1 :- F(π‘₯)=∫1β–’γ€–tan⁑π‘₯ 𝑑π‘₯γ€— =π‘™π‘œπ‘”|𝑠𝑒𝑐 π‘₯| Hence F(π‘₯)=π‘™π‘œπ‘”|𝑠𝑒𝑐 π‘₯| Step 2 :- ∫_0^(πœ‹/4)β–’tan⁑〖π‘₯ 𝑑π‘₯=𝐹(πœ‹/4)βˆ’πΉ(0)γ€— =π‘™π‘œπ‘”|𝑠𝑒𝑐 (πœ‹/4)|βˆ’π‘™π‘œπ‘”|𝑠𝑒𝑐(0)| =π‘™π‘œπ‘”|√2|βˆ’π‘™π‘œπ‘”|1| =log⁑√2βˆ’0 =log⁑√2 = log⁑〖2^(1/2) γ€— =𝟏/𝟐 π’π’π’ˆβ‘πŸ

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