1 T/ -dx 6 x²+16

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: -3 S x(3x – 1)® dx

A:

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: 12. S dx 2x3 x++1

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Q: 6. x2 +7 y = 8. dy dx II

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Q: 3x aluate: S dx X+10x+30

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Q: dy Find dx = (3x - 5)(x² + 2x).

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Q: 10. x3 Vx² –- 1 dx

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Q: ,2 3 csc- x dx 1. /1–4cot2.

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Find dy dx 1. y = (3-2x)³ (x² − 2)

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Q: x²(In(x))² dx

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Q: 2 S(4x3 + )dx x+1

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Q: 13. S: 5x dx x5-3

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Q: Sla 1 z dx |(25 – x²)3/2]

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Q: X2 dx ex+3

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Q: - Vx²+1 (Ъ) xe dx

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Q: 1.Jx' dx 2.1-dx X 3.18x²dx

A: Topic = Derivative

Q: 2x* - X* dx 「奈 3. スx* + 1

A:

Q: dx 1- S 4+x2

A:

Q: 1 dx x² V5 -

A:

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: x(x²-x+2) dx is equal to 3

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Q: 3x dx V1-x

A: Integral is given

Q: x2 - 3x/5 + 1 dx 1/2 3r7/s

A:

Q: 1. S^₂(x²-x)dx

A: Find the integral

Q: 4 S. x* - 6 dx = 14

A: Let, I=∫x4−6x14dx ⇒I=∫1x7x4−6dx ⇒I=∫x2x71−6x4dx ⇒I=∫1x51−6x4dx

Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: dy 2 dx x2+4

A: Given:  dydx=2x2+4 To Find: To solve the given differential equation

Q: dx S x-Vx2+1

A: Given that, ∫1x2x2+1dx

Q: 2. 5x - 2 (x + 3)² S dx.

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Q: (#9) S x2 dx V16-x²

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Q: find dy dx X2+ уг — -- =4 Ч

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Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

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Q: -4 (1x|+x-2|) dx -1

A: To find: The integral ∫-14x-x-2dx. Concept used: The absolute function fx=x: fx=x,    x≥0-x, x<0…

Q: 1 S dx 1/2x² √√x² +4

A:

Q: 13. S x²(4x³ – 1)² dx

A: The formula for square of difference of two quantities is A-B2=A2+2AB+B2. The exponent property that…

Q: 1 (x2 - y2) 3 dx

A: We have to evaluate ∫1x2-y232dx Let x=y secu Then: dxdu=dduy secu⇒dxdu=y secutanu⇒dx=y secutanu du…

Q: 7In(x) dx

A: Asymptote is a line such that the distance between the curve and the line approaches to zero as one…

Q: dx 1. S V-x2+ 6x + 3

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Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: | x(x – 2) sech(2x²e¬x) dx ex

A: To find: ∫xx-2sech2x2e-xexdx

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: 1- x dx 3.

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Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: Evaluate:

A: Given integral is We know that

Q: 2x +1 S- dx x(x² +16)

A: Find the integral by partial fraction

Q: Sel+x3/2 Vx dx ,1+3 X,

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Q: 2. 16-x dx 2.

A: