Q5. Find the below integrals and √(2.20) 2717 dx(x) = 2₁ (0,00) 1 + X{0,3} + X(-3,-2)) "dX=? where A is the Lebesgue measure on R, and [2] denotes the integer part of a. 2X(0,3)+

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A:

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A: To integrate,

Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

A: 16).17).

Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

A:

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A:

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

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A:

Q: Evaluate the integral 1 - √xé √x sec 1 2 sec | √xe¯ √x ³0c ² (2e √x - 2) dx = 2 ² (2e √x - 2) dx.

A: