„tan x 5. y = xtan r

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: Show that (i) tan x < x, 0<x<T/2

A: In this question, the concept of Trigonometric Function is applied. Trigonometric Function The…

Q: 8+tan x dx 1-sin?x i.

A:

Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: 1 - cos(x) y = sin(x) y =

A: Observe the graphs carefully, Figure (b) suggests that the limiting value of the function…

Q: S(4 sec x + 3 tan x)²dx

A: We will solve the problem

Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

A:

Q: Evaluate the integrals

A: We have to evaluate the integral;  13) ∫ln4ln9ex/2 dx14) ∫tanxln(cosx) dx

Q: 3. Scos x(tan x + sec x )dx

A:

Q: 1. If tan-1 x x 1’ f(x) = Then S(x) dx =?

A: This question is related to definite integration, We will solve it using given information.

Q: 9. Evaluate sin x dx a) S, 1+sin x b) S sec x tan x- csc²x *dx secx + cotx

A:

Q: TTX tan 4 TTX 46. f(x) g(x) = (/2 – 4)x + 4, x = 0 %3D = sec 4

A:

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

A:

Q: (c) Show that:- tan-x + tan-1 y = tan-1 *+y 1-xy

A:

Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

Q: tan°(x) sec²(x) dx = 1/7tan^7(x)+1/9tan^9(x) %3D

A:

Q: |2 tan(x)dx

A: I am attaching image so that you understand each and every step.

Q: 4. f ta tan x sin xdx

A:

Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: 2- S tan x dx.

A: Given integral is: I=∫0πtan x dx We have to evaluate this integral.

Q: tan x e sec x dx

A: Given,  ∫0π4etan x sec2 x dx

Q: 7/4 (sec² x – sin x)dx

A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

A:

Q: 3){ tan" x dx

A:

Q: evaluate the integrals

A: Substitute x=cos θ⇒dx=-sin θ dθ

Q: Derive a formula for tan x sec" x dxr where n# 0.

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: =8) S sec°(x)tan(x)dx =

A: Given∫sec6⁡(x)tan⁡(x)dxLetI=∫sec6⁡(x)tan⁡(x)dxI=∫sec5⁡(x)sec⁡(x)tan⁡(x)dx  — (1)

Q: tan x sec' x dX

A:

Q: / (un"s tanʼ z + 1)* sec? a da tan? x +

A:

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: y = In(sec x + tan x)

A: Solve the above differentiation.

Q: | tan x sec* x dx

A:

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: If f(x)=tan x, then show that f(x+y)-f(x) = sec^2x tany/ 1-tanxtany

A: The detailed solution is given below Thank you

Q: 2. Describe a way of evaluating sin° x dx.

A:

Q: 3 tan (x) sec (x) dx T) sec (x)dr

A:

Q: 2 tan(x)dx

A: This question is related to definite integration, we will solve it using given using given…

Q: 1. S(1+ tan x)²dx

A: Given : Integral of ( 1+ tanx)2

Q: Find y' of sin(x+y)=x+y

A: Given,              sin(x+y)=x+y

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: What is ∫ tan x dx?

A: Integration

Q: evaluate the integral.

A:

Q: 5. y = sec 0 tan 0

A:

Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: 9. sec(1- x) tan(1 – x) dx

A:

Q: Find all the relative extreme values in the domain of y = tan(x)

A: Find all the relative extreme values in the domain of y = tan(x)

Q: (2 In sin x)3 15. S tan x

A:

Q: S [tan® x sec6 x + cos“ x sin“ x + sin* x] dx

A: Given that: (tan8xsec6x + cos6xsin4x+sin4x) we solve this integration by using general formulas of…