Evaluate: [- e2x dx J ex+1

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: y dy J 725 – 16y 2.

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Q: Find the antiderivative dx/(x2-100)2

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Q: dy from the equation 3xy? + 42- Y-5 dx Evaluate = 11 when X = 1 2x? –1

A: 3xy2+4yx-y-52x2-1=11 when x=1

Q: dx e) J 25+162 25+16x2

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Q: 2.x? Evaluate dx using substitution technique. 2x' +5

A: Since Mulitple questions are asked, Hence doing only first question.

Q: dx J 2.x² – 3x +9 Зх + 9

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Q: 1 dx J 74+4x²+4

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Q: x4 + 15x2 + 3 dx x5 + 25x3 + 15x

A: Topic = Integration

Q: Evaluate the followingintegrals.

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Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: What is the value of I V16 – x² dx?

A: The definite integral ∫-4416-x2dx can be solved by applying the trigonometric substitution . Let…

Q: Find

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Q: (d) S ! + de 1 d.x V1-x²

A:

Q: 32 Evaluate (t- 2t)° dt dx J2

A: Here we use fundamental theorem of calculus

Q: dx J V1-4x2

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Q: .2 x +9 dx J (22- 1) (a2 + 4)

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Q: dx 3.J Jx2+16

A: Answered no. 3 We can solve the given problem using the concept of integral trigonometric…

Q: d) S 3x²e*dx e) 2t?Vt3 +1 dt

A: evaluate the integrald)∫3x2exdxe)∫022t2t3+1 dt

Q: Evaluate "x/2 e-x/² dx,[+hint: assume x = 2y] %3!

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Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

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Q: 2nsin (пx?) dxdy x2 0,

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Q: D. Compute in terms of x and y. dx

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: Rewrite using the order dy dz dx. [L² dz dy dx = 5 5. O dy dz dx

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Q: Find 3 J (æ+ 1)/2x² + 4x + 6 dx. OTM

A: We have to find the integral of the given function.

Q: dx 10. J V2x2-1

A: See the details solution in below

Q: dx 8. J x*V5x-x

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Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: Do you think the S f(x)dx is positive, negative, or zero? Explain.

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Q: EVALUATE THE FOLLOWING: dy is 19-49y? dx tdt 2.17+64 1. 3. xV4x - 25

A: 1. Let  I =  ∫dxx4x2-25         Put  4x2-25 =t          ⇒ x2  = t2 + 254          differentiate…

Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: Find the antiderivative dx/(49x2+16)2

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Q: За? + 2 dx J x³ + 2x + 10

A: We have to solve

Q: Evaluate (i) dx S √e xlnx√(2lnx)² – 1

A: We are asked to evaluate the integral

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

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Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

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Q: evaluate using the suggested method.

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Q: 2 dx Evaluate J xvx4 + 25

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Q: evaluate using the appropriate method or combination of methods.

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Q: dx J 22 V1-9x2

A: Given:  ∫1x21-9x2dx

Q: Evaluate e (r- 2|) dx if it exists. If it does not exist, explain why.

A: To evaluate: ∫-12x-2|x|dx

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A: Given, ∫04xx2-1dx=12ln(15)

Q: Jx² (1-x)*dx= 1 .a O 280 1 .b O 105 1 .c O 210 1 .d O 35

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Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: J dx 4 + x² =

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Q: La S* (16 – y – y) dy dx = 47. 512

A: ∫-22∫x28-x2(16-y-y) dy dx

Q: luate:J(2x}-1)({3× }-1)dx }denotes. the fractional part.

A: We are asked to evaluate the integral.

Q: 222 d. Evaluate dx Vt²-t dt

A: We have to solve this