GUESTION 3 dy Fmid Tx 2. 3.1 sinh e 3.2 %3D (Simiplify = Sech Cuox) answer fully your

Q: dx sin*x

A: We have to integrate.

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

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Q: nx ( X

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Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: y=Cix + C2e * + x2

A:

Q: solve using Gamma function rý a. C. So dx √-In(x)

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Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

A:

Q: 4 cot (8x) C&x) csc^C8x) dx

A: solve integeration

Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: 8, tan (tan 9.

A:

Q: Differentiate y = sinh 3x. %3D A.3 sinh 6x 3. 3 sinh x C. sinh 6x D. 3 sinh 3x

A: We have to find derivative

Q: dx

A:

Q: Determine how large the number a has to be so that 08. 1 dx

A: Solution is given below

Q: Evaluate. 8. 12e3 dx

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Q: X = Ys e %3D (ras.t) %3D (2.1,0)

A: Here we have given u in terms of x,y,z and x,y,z in terms of r,s,t , We use above given relations to…

Q: S 3x(10x³ – 2x)dx Rewrite

A:

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: 1 dx VI (1+ V)

A: To calculate: The integral ∫1x1+x2. Calculation: Apply the u-substitution method u=1+x.…

Q: e-V2x sinh x sin x x dx

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Q: Use the power rule to obtain the derivative of the first term. 10(x-1/3) = 10( dx Submit Skip (you…

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Q: n lim dr.

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Q: 13 If f(x) = t? dt then %3D f'(x) = %3D

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Q: Sx*e*dx

A: ∫x3exdx

Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the…

Q: 5x 8. 10e dx

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Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: 13T (b) sin-(sin(- -)) = %3D 11

A:

Q: 2 1n x. 9. dx

A: Derivative: The chain rule states  ddxfgx=f'(gx)·g'(x) The derivative formulas are ddx(ex)=exddx(ln…

Q: dx x²(x-1) 32. 13

A:

Q: Find the derivative of y = 1+1=10 17 Or=0 + 30 3 Oy= Oy=- ▬▬ + 17 - 17 4 (3-17²) 33

A: y=3-17x23x3