26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

Q: 7. S tan 5x dx

A: Using integration

Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. Graph y = 4 sin 2x in the interval 0 < x < 2n

A: To Graph:- y = 4Sin2x in [0,2π]

Q: L, sin 8x cos 15x dx

A:

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: 3 tan-(x)dx O V3 - In (8) V3 TL In (4) 2/3 2.

A:

Q: 4. Evaluate sin (44°) + COS (290) using differentials. Refer to special triangles.

A: To evaluate  sin440+cos290 using differentials.

Q: tan (VT)+2 dx J Va (sec(VT) – cos(/7))

A:

Q: sinh In(2+2x) dx? x+1

A:

Q: S" sin" (0.5x)cos (0.5x)dx

A:

Q: 3. S sin*2x cos$2x dx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5. | cos(7x)dx

A:

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: c- S cos(Inx).dx

A:

Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: 9. S sin(4x – 2) dx

A:

Q: S sin(4x + 3)cos(3x – 5)dx -

A:

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: dy dx a) { In |0* + 1|} „b) arctan (ve2 -1) , c) sec-(0²) – 1

A:

Q: 3. S In(cos x) tan x dx

A:

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: 5. If cosh 2x then the positive value of 4 sinh 2r is

A: Here we will use the relationship betweencosh2x and sinh2x to find the value of sinh2x from the…

Q: Estimate 1 7 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round…

A: I=∫017 cos (x2) dx             f(x)=7 cos (x2)b=1, a=0, n=4h=b-an=14=0.25aThe Trapezoidal…

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: (a) S sin³ cos dx . 3

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

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: S cos(7x) cos (18x)dx

A:

Q: S sin(4 + 5x) cos (5x – 4)dx

A: From the given problem: I=∫sin4+5xcos5x-4dx As we know that the trigonometric identity:…

Q: 3 cos ° (5x)dx

A:

Q: S sin (3x) 1+cos² (3x) dx

A: Given integral ∫sin(3x)1+cos2(3x)dx The objective is to evaluate the integral.

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: 5: - S cos(lnx).dx

A:

Q: 1. cos 3x dx

A: Since, the exact question was not specified so will answer very first question of it. Please…

Q: In=5 dx Sin^ (x) ( ategrate by parts for findu the Yreduction form (11) by using (i) find In and…

A:

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

A:

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

Q: 5. S sin5x cos 3x dx

A:

Q: Sõ sin“ 3x cos 3x dx

A:

Q: 4. Evaluate sin (44°) + + COS (29°) using differentials. Refer to special triangles.

A:

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: dy/dx for (ln(tan(2x)-sqrt(3+e^2x) / (pi(x)^3-cos^2(-5x))

A: Given,     y  =  ln(tan2x)-3+e2xπx3-cos2(-5x)

Q: 10.y = Arc cot (sinh3x) 11. y = cosh?4x - cos 12. y = In (sinh4x) cosh8x +x² 2

A: To find dy/dx: 10.y = arc cot ( sinh3x ) dy/dx = [1/(1+sinh23x) ]( cosh3x) 3  = (3 cosh3x) /…

Q: (1) S cos(7x + 5)dx

A: We need to integrate the given terms.  For this we will use substitution method.

Q: Find y' of y= In(tanh2x)

A:

Q: 1 dp- sin x cos x cos?,

A:

Q: S sin(3x)cos(2x)dx

A:

Q: S sin 3x cos xdx

A: