Evaluate in terms of gamma function: x°e-3¤ dx O r(7) Or(17) O(7) OI(7)

Q: What is the phase shift of the function f(x) = sin(x+ 2)? %3D

A: For any  sinusoidal function f(x) = Asin(Bx + C)  The phase shift is  = -C/B

Q: Evaluate cos (4x) dx. cos (4x) dx = %3D

A:

Q: Use this equation to find  dy/dx. 5y cos(x) = x2 + y2

A: Given:

Q: f os 7x cos 2x dx

A:

Q: Fimk ® y = e* Cos 2x

A:

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: Use the substitution rule and show all the steps to evaluate: 1 dx 1+ sin x – cos x

A: ∫π3π2 11+sinx-cosx dx Apply u substitution u=tanx2 find derivative of u with respect to x…

Q: Find dy dx tan/ sin3x) + eos (cos. .....

A:

Q: Evaluate L. Cos 3 -1 X x² + 1 dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: cos z16 x17

A:

Q: Find f cos³x sin³x dx.

A: Given that: ∫cos3x.sin3x.dx

Q: 3. Explain graphically: cos x dx = 0.

A:

Q: (a) Find fx5 +2 cos(2x) dx

A:

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: 5. | cos(7x)dx

A:

Q: x fare cos = dx 2

A: Indefinite Integration

Q: find y = (cos(x))os®)

A: Let y=(cos(x))cos(x) By using the logarithmic differentiation, Apply logarithm on both side…

Q: Evaluate in terms of beta function: L (1– 1) dz dr. O-)

A: According to question given:∫01(1-1x)13dxWe have to evaluate the given integral in terms of beta…

Q: Se³x cos (2x) dx 3x

A:

Q: 2. If y = e-* cos 2x, then f'(x) = %3D

A: Given : fx = e-xcos2x

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

A:

Q: Find ∫cos3 x dx.

A:

Q: If f(x) = 2x(sina + cos a), find f'(x) = %3D

A:

Q: Find dy Sor y -Sin X-/ xp

A: Given : y = sin-1 x-1x+1

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: fxcos (x)dx COS

A: Assume u=x^2Find du

Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: Find ∫cos4 x dx.

A: To Determine: find the integral ∫cos4xdx Given: we have an integral  Explanation: we have an…

Q: cos ax -dx = te' 2 х* +1 ле",а 20.

A: In this context, prove ∫-∞∞cos axx2+1dx=πe-a,a≥0. Consider, ∫cfzdz=∫-∞∞cos…

Q: 3 cos ° (5x)dx

A:

Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

A:

Q: 1. Ssin (2x-1)cos (2x-1)dx

A: 1) Evaluate: ∫sin42x-1cos32x-1dx

Q: cos(3x) dx

A: answer is in next step

Q: - 24) fx cos (x*) dx 26) dx

A:

Q: Find Se2= cos(x)dx.

A:

Q: Use trigonometric substitutions to find dx. V1-

A:

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: Evaluate cos(x) - 1| dx.

A:

Q: Evaluate 不12 Sin^ x dx = 「ズ「() 2 2r/2+2 n > -1 (Gamma function).

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = sin2 (x - 3y)

A: Given: fx,y=sin2x-3y  To find: ∂f∂x,∂f∂y

Q: fx cos 2x dx

A: Let's solve given integration.

Q: a²-x2 6- Sº, S dy dx -Va2-x2 7- Sx? cos 5 x dx

A: As per bartelby guidelines we have permitted answer only one question if given more than one…

Q: -3x cos (5x)dx

A:

Q: )Evaluatef 4x cos(2-3x) dx

A:

Q: What is d/dx sin x ?

A: To find the derivative of sinx (ie) To find ddxsinx

Q: Se-3x cos(5x) dx

A: