2x dx Using an appropriate substitution, evaluate: B 4/7 © 37 3/2 D 4

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A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 2x dx Using an appropriate substitution, evaluate:

A: It is a basic definite integration problem

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A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

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A:

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A:

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A: Simplify the integral ∫tan125x dx4sin25x-4 using the trigonometric formulas (1-sin2x)=cos2x and…

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

A: Let,

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A: In some cases a substitution can simplify an integral to a standard integral. For example the…

Q: 1 dx VI+ 7x 14. 0.

A:

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A: Given integral, ∫14x2+xdx

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A:

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A: Question 4: The graph of the function is shown as:   y = - 3 x4

Q: | V49 + x² dx (7) (8) / - ² x – 4 dx x In x

A: Solve by integra

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A:

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A: Given integral is  ∫06(3x2+x+3)dx

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A: Let the given integral be -y = ∫25225dxx2+25xy = ∫25225dxx2+25x+2522-2522y =…

Q: What is the value of -6x(x² – 2)* dx? Enter your answer as an exact fraction if necessary.

A: Given the definite integralI=∫01−6x(x2−2)4dx       .....(1)

Q: Using u- substitution, | x³/25 – x² dx is equivalent to

A: Take   25-x2=u i.e;      x2=25-u Differentiate the above 2xdx=-du xdx=-12du Substitute the  values…

Q: 2) Se* dx

A: Given: ∫x5exdx

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Q: 4x2-1 4. S( 9xe*) dx (6х-8х3

A: I am attaching image so that you understand each and every step.

Q: What is the value of 7x (-a* + 1)* dx? Enter your answer as an exact fraction if necessary.

A: Given:    ∫017x3-x4+14dx

Q: gener dx 1+2y? (6 marks)

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Q: 2 dx 43.

A: Given integral is

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A: Use power rule of integration.

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Q: C2. By dividing the range into 8 equal parts, evaluate 1 dx using Simpson's rule. 4x +9

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Q: dx 3.

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Q: 9. Se?*+2 dx II

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Q: What is the value of ∫ 0 (top) −1 (bottom) x^3(4x^4−2)^4 dx? Enter your answer as an exact…

A: we use substitution method to integrate function..

Q: 1 dx x/x? – 4

A: Put x=2 sec theta

Q: evaluate using the suggested method.

A:

Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: 1 5* – ex +=) dx

A: Solution Step 1

Q: Evaluate (-x + 4x – 3) dx using each of the following values. 26 x² dx x dx = 4, dx = 2 3'

A: Given: ∫13x2 dx = 263 ∫13x dx = 4 ∫13 dx = 2 ∫13-x2+4x-3 dx = ?

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: 5. y lnx – x In y = In e 2x

A:

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Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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A: To differentiate the given function.

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Q: 2x+1 dx

A: ∫e2x+1 dx