х3 +4х2-6х *dx х-1

Q: 5 sec2(0) de tan(0)

A: let I=∫5sec2(θ)tan(θ)dθ

Q: | Sin(3メ+5)dx

A: We have to find the indefinite integral

Q: | tan 3x sec 3xdx 3.

A:

Q: (3х+5) dx х3-х2-х+1

A: Using partial fractions we will split the given integral,then we will apply standard integral…

Q: sin(20) 0 = /-

A: When theta is between 0 to 360 degrees, then 2theta is between 0 to 720 degrees. We use sin inverse,…

Q: التاريخ الموضوع Sech *-nt

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: |sec-(1.8x – 2.3) dx = %3D

A: Let the given integral is I=∫ sec21.8x-2.3dx By using the substitution, Put, u = 1.8x - 2.3…

Q: Find 23x(10)* -' dx

A: The given integral is ∫23x10x-1dx

Q: (1+2 In æ)4 -dx

A: Indefinite Integration using substitution

Q: 4) sin- 2.

A:

Q: arcsin (0.23) ~

A: Given arc sin(.23) can be evaluated as shown below

Q: 6)( csc-1 u] du dx uyu2-1 dx

A: To prove,  Consider, y=csc-1u Now, on taking cosec on both sides. y=csc-1uu=cscy

Q: tan 0 = 0.8, 500°<0 < 1000° %3D

A: To solve: The equation tan θ=0.8. 500°≤θ≤1000°. Formula used: If tan θ=tan α then θ=nπ+α.…

Q: 3 24- dx (3— 4x(х + 1)

A:

Q: ARC Distance 1-2 12 1-3 8 2-3 7 2-4 10 3-4 3-5 9. 4-5 8 4-6 11

A: Solution

Q: 1 Evaluate (-, dx х-х3

A:

Q: - Sin (x-꼭)+| %3D

A:

Q: 11) sin-1 2.

A:

Q: Sinh(8)=

A:

Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: 2 (3x- 2) dx Вх — -2

A:

Q: olve: y=ln ln [cos2(3x)]

A:

Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: 3 +5 - dx =

A:

Q: 3- 2x (3x- 2)ʻdx

A: To evaluate :

Q: sec(-3x + 5) dx

A: Solve the integral

Q: arcsin (0.3)=

A:

Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: 3- 3,9 dx

A:

Q: 6 1 -dx /6 — х

A: solution:-∫2616-xdxusing substitution methodlet, 6-x=ux=2,  u=2x=6,  u=0-126-xdx=du

Q: 7. 1-3√√x X 2 X √ √ 3 -dx

A:

Q: integral sin6(3x) dx

A:

Q: tan ³ (3x) sec" (3x) dx

A:

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: 11) sin-1

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: Trig Time! 200 300 500 800 -200 sin(7x) + 300 300 cos(27x) + 200 -500 cos(z) + 800 800 sin(27x) +…

A: Given

Q: 2. 3. 4 了- dx

A:

Q: sinh(5) =

A:

Q: 6 1-x² dx

A:

Q: 25-9x2 -dx- x2

A:

Q: (3х+5)dx х3-х2-х+1

A:

Q: cot2Vx dx 3-5T dx 2-5 2-) cos2x

A:

Q: .2 4- dx 2 (. 2)4 3.

A:

Q: sin2 (5) : O cos2 () csc2 ( ) O csc2 ( 4) O cos2 ( 4)

A:

Q: Find 9x(6)* - 'dx

A: Given : ∫9x6x-1dx

Q: arcsin(2x) ·

A: