5x + 6x dx. Find х - 1

Q: Find a and b in Va+4x-5 dx = x+2

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Q: S(1 – 2x²)(x + 3)dx

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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: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: 2. dx (x+1)√x-3

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Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: '3 | (x2 - 7) dx 1 4x +

A: Given: ∫13(x2-4x+7)dx To find: Evaluate the integral.

Q: 1 Evaluate - dx (r+2)Vx2+4x

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Q: 4x x*e*dx (2sin dx V4-x2

A: We can solve all the intregration problems with tha mathod of substitution. In substitution we use a…

Q: S. FInd (4x3 + 3x2 – 2x + 1)dx ·

A: The given integral is as follows:  ∫014x3+3x2-2x+1dx We shall evaluate the value of the integral…

Q: Find dy dx 2 for x²exy = 5 WA/

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Q: a. b. C. [(x² + 2x³ + 4x + 10) dx [ 6xe*² dx [ In x dx

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Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: d/dx(2^4x+3)

A: Given query is to find the derivative of 2(4x+3) .

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: x² – 4 - 4 dx

A: As per our guidelines only one question can be solved. Kindly repost the remaining part in the next…

Q: 2x - 4x – 8 -.dx Find -3)(x* +4)

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Q: X2 dx ex+3

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Q: (x²-ax +4" dx

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Q: d Find dx (46z + 3) -

A: Answer  We know that ddx(af(x))=af(x)ln(a).f1(x)

Q: What is the solution of 5 |x - 2|dx

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Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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Q: 1 b. 4*(x³)dx -1

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Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

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

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Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: (In x)² dx 3r

A:

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

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

Q: An appropriate substitution for 2x dx is V4 – x2

A: The given integral is:∫2x4-x2dx

Q: dx 9-3

A:

Q: (x² + 4)³/2 -dx

A: Given integral is: I=∫x2+432xdx Integrating it: Put:u=x2+4dudx=xx2+4dx=x2+4xdu…

Q: 2. 5x - 2 (x + 3)² S dx.

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Q: Find d/dx {6[(x^2 − 3x)^2]}.

A: Given:

Q: (2x² – ye")dx – et dy = 0.

A: Consider the differential equation  2x2−yexdx−exdy=0

Q: 14. Find. V dx 1-2x

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Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: A) Evaluate 1 dx. I vit 6x – x² -

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: 2x?+9х-1 1. S x(x2-1) dx

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Q: e2x :dx /1– ex

A: Given:        ∫e2x1-exdx  substitute u=1-ex→dudx=-ex→dx=-exdu  use e2x=1-u2      =∫u-1udu Expand:…

Q: find dy/dx if 2x3-5y4+4xy=12

A: The derivative of 2x3 – 5y4 + 4xy = 12 with respect to x is computed as follows.

Q: 1 T/ -dx 6 x²+16

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Q: Find + 3) (т - 4)dx

A: The given integral can be solved by simplifying the equation

Q: Find ∫ (x + 2) / √(4 − x2) dx.

A: C=integrating constant

Q: 6- xdy+(2y-x²-1)dx=0

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: Find (x + 2)e3* dx

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Q: 21 (b), dx -1 3e2x

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Q: dx 2. x2 – 6x + 13 -4 dx 3. (x – 2)3

A: