Find the integration of the following functions 2) fx tan(x² + 1)dx COSX 1) -dx 3+8sinx

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: 2x-1 dx

A: Given,

Q: Evaluate sec(4x) tan(4x)dx Select one: sec(4x) a. +C sec(z) b. +C 4 C. sec(4x) + C d. 4 sec(4x) + C

A:

Q: | (5cotx – sin x) csc² x dx

A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

Q: Evaluate (3x + cos 4x) dx

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: Find √√3 x² +3 x² +1 dx

A:

Q: x2+1 - dx x4-x²+1

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: (cosh ar +h)dr

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

A:

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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Q: Find O d² cot 1 ¹x dx2 -2x (1+x²)² 2x (1+x²)² -1 (1+x²)² -2 (1+x²)²

A:

Q: 1 dx Vx(1+ x)7

A: ∫1x1+x52dx

Q: te the following: 2x dx x - 4 dx

A:

Q: Use implicit differentiation to determine an expression for dy dx if y√x+1 =

A: