4. * S sec? (4t) (3 – tan(4t))³dt A C 1 (3 - 4 tan (4t))* + C (3 – tan (4t))ª + C 16 - - - - | - В 1 D 1 (3 – tan (4t)) +C (3 – tan (4t))* + C 16 A В D E None of the Above

Q: -4 tan-(x) dx 1 Find (x + 1)2

A:

Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

Q: Evaluate f x'V 1+4x² dx.

A: Consider the definite integral ∫01x21+4x2 dx to evaluate this, first evaluate the indefinite…

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

A:

Q: sec² y(tan y-1) (tan y+3)* (tan y—5) 4 1

A:

Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

A:

Q: I 1 -x² + 4x - 5 A B D dx _____ In-x² + 4x −5+ C -tan-¹(x - 2) + C -tan-¹(x + 2) + C tan ¹(x - 2) +…

A:

Q: d sec (z) = dz %3D sec(z) tan(z) O sec?(z) O (2) tan(z) O tan2(2)

A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

A:

Q: (D² - 9)y = 0. (A) y = e*(c,cos2r +c sin2x) B y = c,cosh 3x + c,sinh 3x y = c,cosh – 3x + c,sinh 3x…

A: Solution

Q: is equal to sec (2x) + In|sec(2x)|+ C sec (2x) – In|sec(2x)| + C the above the above Gsec (2x) –…

A:

Q: Evaluate sec³ (0) tan³ (0)dē. ○ sec (0) - sec³ (0) + C ○ sec³ (0) + sec³ (0) + C O sec³ (0) + sec(0)…

A: Step 1:To solve the integral ∫sec5(θ)tan3(θ)dθ, we can use substitution and trigonometric…

Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

A:

Q: dx x4+16 Įtan-( x2 + c 4

A: Given that, ∫xx4+16dx

Q: If y=tan(arcsec/x), then dy/dx is x – 1 A 2(x-1) sec2(arcsec/x) B sec2(arcsec/x) 2x D none of the…

A:

Q: S(sec x tan x – 9x³)dx =. - - sec x – x+c O sec r + x° +c O tan x + x +c sec x + x° + c sec 2 — 29 +…

A:

Q: dy 1- Which one is correct ? The Y of ex?tanx a) (x2 sec?x tanx + 2x tanx) b) (x² sec?x + 2x…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2 a. (1+5 ln x)³ dx fa+ b. (1+3 tan x)² sec? x dx 2x + 5 dx Vr – 3 2x3 – 5x? + 9x – 4 C. - d. dx x²…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

Q: Differentiate y = 5* sec (e*). A5' sec (e) [e'tan (e)-In 5] 5³ln 5 sec (e^³) [tan(e¹) +1] 5*¹sec…

A: y=5xsec(ex)d dx(ax)=axlnad dx(secx)=secxtanxdexdx=exd dx(a.b)=adbdx+bdadx

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: π/2 • 2 sec ( S TT/3

A:

Q: Compute tan" z · sec² æ dæ. O tan12 z tan10 z +C 12 10 O tan° a tan10 a +C 10 tan12 a sec æ +C 3 12…

A:

Q: (x² +1)Z. tan-1(sin 2x) Q2/ B/Find dy if у 3 dx (x2 +4)3 . sin-32x

A:

Q: S(sec x tan x + 10xº)dx %3|

A:

Q: need the answer as soon as possible

A:

Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

A:

Q: Let h(x) = tan(2x + 7). Then h' (3) is and h'' (3) is

A: Given query is to find indicated derivative

Q: Find the expression for dy dx dy dx dy 2xcos(x²-y²) - 1 2ycos(x2-y2)+1 dx The answer cannot be found…

A:

Q: IV. 4x + 2 dx x² + x + 5 V. 2x – 1 dx x² – 7x + 10 VI. | sin(3x) cos(5x) dr

A: