tan-¹(z) z+¹x² + 2x +4° (2) lim

Q: 5- (tanx + secx)2 dx

A:

Q: cosx/secx+tanx

A: The given expression is:

Q: eXtan(e*) dx sec²(e*) – 7 2(, - 7

A:

Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: Tx3 – 2Vx2 + 6-1 Using basic differentiation rules, find Da (2x3 – 4) (3x-2 – 2)

A:

Q: sec2 () dx x3

A:

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: 3(x5 + x³) ez"+xª + 3(x6 +xª) +2 dx -2

A:

Q: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: 5. f Scot(x/3) sin²(x/3) -dx

A:

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: 1 √₁-² 1- Evaluate -dx (1 - 3x)²

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: What is the derivative of cot³( 4x³ – 2x)? A (– 36x²+6)cot2(4x³– 2x) csc²(4x³– 2x) 36x?cot (4x³ –…

A: Given : Function cot34x3 - 2x   To find : Derivative of given function?

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: lim

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Q: sec(2) tan(2) – 1 dz 3.

A:

Q: sec? (1/x) dx. 9: (16pts) Evaluate

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Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: 2х-п lim =? COSX 2

A: We can use differential calculus to find the solution. When we directly apply the limit we get an…

Q: (b) 1:16 tan5(x) sec²(x) dx

A: 1621​ or if you have needed in decimal form then you type 0.00617283 round as much you need.…

Q: S(6x + 2) sin(6a² + 4.x)dx

A: we have to integrate

Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Q: sin5x(1-2t)dt (6) lim

A: limx→0∫xsin5x1-2tdtx Let  I=∫xsin5x1-2tdt=t-t2xsin5x=sin5x-sin25x-x+x2

Q: sin (z+27) =

A:

Q: (sec x + tan x)² dx

A: It is basic integration problem  First I have used whole square formula then integrate.