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Ex 7.3, 19 - Integrate 1 / sin x. cos3 x - Chapter 7 - Ex 7.3 - teachoo
NettetIntegrate: int 2cosx ( 1 - sinx ) ( 1 + sin^2x )dx Question Integrate: ∫(1−sinx)(1+sin 2x)2cosx dx Medium Solution Verified by Toppr Consider the given integral. I=∫ (1−sinx)(1+sin 2x)2cosx dx Let t=sinx dt=cosxdx Therefore, I=∫ (1−t)(1+t 2)2 dt I=∫(1−t1 + t 2+1t+1)dt I=−∫t−11 dt+ 21∫ t 2+12t dt+∫ t 2+11 dt I=−ln(t−1)+ 21ln(t 2+1)+tan −1t+C Nettet25. des. 2024 · asked Dec 25, 2024 in Integrals calculus by Vikky01 (42.0k points) For what value of a and b, the equation ∫ (dx/ (1 + sinx)) = tan (x/2 + a) + b holds good. (A) a = − 5π/4, b is any arbitrary constant (B) a = 5π/4, b is any arbitrary constant (C) a = − π/4, b is any arbitrary constant (D) a = π/4, b is any arbitrary constant indefinite integration two rivers wisconsin directions
What is the antiderivative of 1/sinx? Socratic
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