Evaluate the integrals. ∫dx/√(21 - 4x2)

Q: Evaluate the integral by completing the square p- x4+2x² +2

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Q: Find the integral of: Зx2 — 4 - x2

A: From the given problem:   I=∫3x2-4x2dx ....(1) Now simplifying: 3x2-4x2=3-4x2 Now substitute this…

Q: Evaluate the following integrals.

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Q: Evaluate the definite integral | (6x + 10)dæ

A: =∫45(6x+10)dxintegrate=(6x22+10x)45

Q: The improper integral x+4x+8

A: We can solve the given problem improper integral convergent test.

Q: Evaluate the integrals

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Q: 3, 1

A: ∫0∞x3(x2+1)(x+1)2dx put   x3 = u=> dx = 3 x23du => ∫0∞x3(x2+1)(x+1)2dx = ∫0∞3u3(u3 + 1)3(u6 +…

Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

A: Given- ∫0247x34x2-x4dx To evaluate the given integral using table of integrals. Here we will use the…

Q: 2x ०5+.a

A: We use substitution method to solve this integration

Q: 2 Evaluate the integral | (1– |æ|) dæ by interpreting it in terms of simple areas.

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Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: 3x?dx 10. S 9x6-12x3+4

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Q: Evaluate the integrals.∫(9x8 - 7x6) dx

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Q: Evaluate the integral.

A: Given Data The integral is ꭍx+4/x²+2x+5 dx.   Let,   Put the value in the given integral…

Q: Use the Table of Integrals to evaluate the integral. x² V 4x² - 27

A: ∫341x24x2-27dx=∫341x22x2-332dxLet x=332sec μ .    limits                                  when x=3…

Q: 5x х? — х — 6

A: Integration by using partial fraction

Q: The integral : S(6x + 7e")dr =

A:

Q: Evaluate the integral by making an appropriate change of variables. 7er- da, where R is given by the…

A: We have to evaluate integral of the give region. We will  make first of all diagram of given…

Q: Find or evaluate the integral by completing the square.

A: Find or evaluate the integral by completing the square.

Q: Evaluate the integral: x+2 ox

A: Given: ∫x2x+2dx

Q: Evaluate the integral∫√1+x2xdx=

A: Given: I=∫1+x2xdx

Q: s dx 3x²+2x+5

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Q: Find or evaluate the integral by completing the square

A: Consider the given integration as I=∫2dx-x2+4x Or it can be written as I=∫2dx-x-22+4

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: x²dx 8. S a4-x4

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Q: メナー Aト 2.

A: Let's find.

Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: 4 x4-1

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Q: Evaluate the integrals

A: Given : ∫132x-65dx

Q: хах 9. S 1-x8

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Q: dx x2 – 2x + 50

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Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

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Q: Evaluate the integrals

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Q: Evaluate the integral. | In(7 x – 6) dæ + C

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Q: Evaluate the integrals.

A: To evaluate: ∫015re3r2+2dr. Let substitute t=3r2+2 dtdr=6r+0dtdr=6rdt6=r dr Limit will also change…

Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: Evaluate the integral.

A: Consider the provided integral, ∫01 x-4x2-5x+6dx Evaluate the integral. Apply the substitution…

Q: 4

A:

Q: Evaluate the integrals ∫2eθ cosh θ dθ

A: To evaluate  ∫2eθ coshθ dθ

Q: dx 21. x² + 6x + 13

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: C. 6x³ +11x² - 4x -3/5 18x² +22x-4dx

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Q: 2 Evaluate the integral of x^3/square root (x^2+4) using a trig sub

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Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

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Q: Evaluate the integrals ∫dx/8 + 2x2

A: Given- ∫dx8+2x2 To find- The value of the integral. Concept Used- ∫1a2+x2=1atan-1xa

Q: 8xdx 1 — 4еx?

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Q: Evaluate the integral of: * dx x2 – 2x + 50

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Q: Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

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Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: evaluate the integral 30 6x+フ×+1

A: