tan x sec2 x dx tan“ x sec“x dx 83. 84. (x + 2)Vx + 1 dx (x + 1)Vx² + 2x dx 85. 86. sin x (tan x – cot x)² dx cot x csc³ x dx 87. 88. x dx + 2 dx 89. 90. 4 - x2 1 + Vx dx V2r – x² dx 92. 91. V-2x – x²

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 1. Dx[arcsin(2x + 1)]

A:

Q: secx-tan x cos x %3D 1+sin x secx+tanx

A: consider the left hand side of the equation sec x -tan xsec x +tan x sec x -tan xsec x +tan x=1cos x…

Q: 2tanx/1-tanx = 2/cotx-tanx

A: Consider the given trigonometric expression 2 tanx1-tan2x=2cot x-tan x

Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: 4 sec 2x tan 2x dx (1+ sec 2x)²

A:

Q: Evaluate (a) 2. Sinx+ X=X (1) Sinx dx T+x²

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: u) sec(2-x)tan(2-x)dx

A: To evaluate ∫sec2-xtan2-xdx

Q: an^-1(tan(4))

A: Giventan-1(tan(4))

Q: sec^2 x + tan x = 1

A:

Q: 2-f sinx(1-sinx)³ (1 + sinx)³ dx

A: An integration is provided. We have to solve it. To solve the integral, we will use substitution…

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: sinx Show that -dx= sin x +cos x 4

A:

Q: sinx Show that -dx = sinx + cosX 2

A: Given, ∫0π2sinxsinx+cosx dxFormula→∫0afx dx=∫0afa−x dx

Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: simplify tan(x) 2 sin(5) x - sin(4) x cos(5) x cos(4) x + sin(x)

A: Please find the solution image in explanation section.Explanation: