Evaluate. sec?x tan x dx

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A: We can find the integration as below

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Q: Simplify the expression sec⁡ x cot ⁡x−cot⁡ x cos ⁡x .

A: sec x cot x - cot x cos x = ( 1/cos x). (cos x / sin x)   - (cos x/ sin x). cos x = sin x -…

Q: Evaluate and simplify the following expression. d cos(x) Vt3 +1dt dx ex

A: Given:  ddx∫excos(x)t3+1dtFormula: ddx∫a(x)b(x)f(x,y)dy =∫a(x)b(x)∂ f(x,y)∂x…

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A: Differentiation is the rate of change of some variable with respect to the other variable. If there…

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A: Consider the given function: y=cosx Differentiate w.r.t. "x" dydx=ddxcosx=-sinx

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A: A detailed solution is given below

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A: We know that in quadrant IV, cosθ is positive and sinθ is negative. Now we have,…

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Q: 2 tan(x)dx 0,

A: Let  I=∫0π2tan(x) dx =lnsecx0π2 =lnsecπ2-lnsec0 =∞-ln1 =∞

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Q: S(1 + cot²x) tan x dx

A: Given ∫1+cot2x tanx dx It is simplified as follows: ∫1+cot2x tanx dx=∫1+1tan2x tanx dx=∫tan2x+1tan2x…

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A: The trigonometric equation is secx=92

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Q: cot?Vx 3-S dx

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