What is ∫ (COS & sup3; X / Sin & sup2; x) DX
∫(cos³x/sin²x)dx
=∫ cos & sup2; X / Sin & sup2; xdsinx / / let SiNx = t
=∫1-t^2/t^2dt=∫dt/t^2-∫dt
=-1/t-t+C=-1/sinx-sinx+C
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- 1. Cos (x / 2) cos (NX) DX (0 → π) definite integral
- 2. How does √ (1 + sin α) turn into √ "(sin (α / 2) + cos (α / 2)) 178;" and | sin (α / 2) + cos (α / 2) | and which formula is used
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- 4. If the function f (x) = x & # 178; - (A-1) x + 5 is an increasing function in the interval (1 / 2,1), the value range of F (2) can be obtained
- 5. Given that the function f (x) = 4x & # 178; - MX + 5 is an increasing function in the interval [- 2, + ∞), then the range of F (- 1) is_____ .
- 6. The known function f (x) = f '(1) e ^ x-1-f (0) x + 189; X & # 178; If f (x) ≥ (1 / 2) x & # 178; + ax + B, find the maximum of (a + 1) B
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- 8. If f (x) satisfies f (x + 2) = x2 + 3, then f (x)=______ .
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