11. Use substitution to convert the integral to an integral of rational functions. Then use partial fractions to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)       sin(x) cos2(x) + cos(x) − 72 dx   please show step by step .

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

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Q: xp- x²+16 Agree or disagree with the statement: the integral-

A: Given data:   The given integral expression is ∫x3x2+16dx.   The first method to solve the given…

Q: Find the indefinite integral. (Use C for the constant of integration.) [19+ (9 + x + 6ex) dx

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: 2. Evaluate the following integrals: (a) - (x +1)?* dx (b) xVx -1 1xV

A: (a) Given:  ∫-∞∞xx2+12dx Let say,   x2+1=u⇒2xdx=du⇒xdx=du2. Therefore, ∫xx2+12dx=12∫u-2du=-12u+C  ,…

Q: 1. Use Integration by parts to solve the following integrals. Show all your work, including the…

A: Given:-             Use Integration by parts to solve the following integrals. Show all your work,…

Q: 7x² + 4x-6 x² + 3x² . dx.

A: We first evalute partial fraction decomposition for the given function and then evaluate the value…

Q: Evaluate the integral. (Use C for the constant of integration.) √ √13 13 + 12x-x²2 dx

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Q: Describe using a paragraph the step-by-step integration of f(x) = (6x2 + 5x) dx

A: f(x) = 6x2 + 5x

Q: 2x

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Q: Please don't provide handwritten solution ...

A: Step 1:a)Hare given that I=∫03​(x3−4x)dx=49​Now ∫03​(24−6x3)dx=∫03​−6(x3−4x)dx…

Q: (c) Find - (2x sin 2x + cos 2x) and hence evaluate J: (x cos 2x)dx dx

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Q: x tan? V1 – x2 sec? V1 – x2 V1– x2

A: Consider the integral: I=∫x tan2 1-x2 sec2 1-x21-x2dx……1

Q: dx √ √==²=3/2² [Hint: Substitute u = u = √x}

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