Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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A: The given integral,    ∫sin5x cos2x dx

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A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

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A: Given query is to find the function.

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A: I am attaching image so that you understand each and every step.

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A: We solve it by integration by parts.

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Q: Given /V -x²+4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? (A…

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Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

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Q: If f(x) is odd and ∫−1 5 f(x)dx=14, then ∫1 5 f(x)dx=

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Q: a) (fog)(7) b) If 4) If f(x) = x + 3 and g(x) then find (gof) (2). %3D x+1

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Q: solution

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Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

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Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

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Q: In this question you must show detailed reasoning. Use the substitution u = 6x2 + x to solve the…

A: The given equation,      36x4+12x3+7x2+x-2=0

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