Consider the function if x < 1 f(x): 1 if x > 1 Evaluate the definite integral. f(x) dx -2

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A: Explanation of the answer is as follows

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A: To solve the integral first I have make a substitution so that integral become easy and the solved…

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Q: use the Change of Variables Formula to evaluate the definite integral.

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Q: 6 Use the definition of the definite integral to evaluate | (x? - 2) dx.

A: Consider the given integral. I=∫06x2-2dx

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A: As per guideline we have to solve only one

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A: We will solve the definite integral.

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A: Integrate

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A: Our Aim is to find the indefinite integral given below:-∫e-x tan (e-x) dx  -(i)

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A: Explanation of the answer is as follows

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A: Solution:TO find the integral∫02(x-5)(x-1)dxFormula:∫xndx=xn+1n+1+C

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Q: For which  x value(s) is the function  f ( x ) = sin ^− 1 ⁡ ( 2 x )  defined and not differentiable?

A: Given that the function is       f(x) = sin-1(2x)  Here we have to find those values of x, in which…

Q: Use U-Substitution to evaluate the definite integrals. Sž cos 2x dx (1+x2)2

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