S (x² + 1) e~3* dx -3x

Q: STANIS 3, 4x+5 dx = 5.5. tdt (2+²-3j³/2₂ 6. Ss in ³2x cos2xdx

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

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Q: dx

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Q: Express in exact form: In(x² + 1)dx

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Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: 2. Show that P(1-x)° dx= x'(1-x) dx. %3D 0/

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Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: Use Milne's method to obtain the value of y(0-3).

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Q: ind dy/dx if y=8x-3/24x^5

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Q: Find dy/dt when x = 1 if y = x2 + 7x - 5 and dx/dt = 1/3.

A: Given:

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

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Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: Find upper and lower bounds for

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Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: dx 2.

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Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: 3 sinº x dx 4 Show that

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Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

A: Given an equation We have to apply the implicit differention to the equation

Q: 7. Integrate 2x-1 dx by using substitution method.

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Find dy ify Yify = sın 2x. dx

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: dt 3. J Tat2+9) 4. Sx² (1 + x³)/4 dx 5. S; ds (1+s²)3

A: Question no. 3,Given,            ∫t4t2+92dt

Q: Evaluate integral x^2e^-x^3 dx

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Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

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Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: 16 Evaluate ſ," x²In 3x dx correct to three decimal places.

A: Given- ∫12x2ln3x To find- The value of the above integral. Concept Used- The above integral can be…

Q: tanh 2x In (cosh 2x)dx

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Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: Find oy for dx2

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Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

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Q: Evaluate /(e* + - + cos4x)dx O + logx + sn3x +c e2r 3 4 e3x sin4x + logx + + c 3 2 O + logx + e5x 2…

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Q: How would I Find dy/dx implicitly 5xy + ln(x2y) = 9

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Q: Limit 0 to 2 √x dx

A: We have to find the definite integration: ∫02xdx We know the formula of integration, ∫xndx=xn+1n+1+C…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Use the composite Simpson's rule with step length h=0.5 to determine 1= [ (2x - - 3x2 + 4x – 1)dx,

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Q: 3. SIX f- - dx x in x√√(inx)2-9

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