Evaluate the integral. x³ + 4 - dx (x + 4) (x + 3)

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: Evaluate the integral. dx (х — 12)(х — 15)

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Q: Evaluate the integrals: 2x4 1. S: -dx x²-x²+x-1

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Evaluate the integral. 3 (x³ - 6x)dx

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Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

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Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: ** dx x+3 x-1

A: Given: I=∫x+3x-1dx For evaluating given integral, first we simplify given expression then integrate…

Q: Evaluate the integral. √3/2 x² V1-x² dx

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Q: b) Evaluate the integral In 5 (x + 1)²e* dx

A: Given integral is ∫0ln5x+12exdx

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: Evaluate the integral. '5 dx (x2 - 1)3/2

A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: Evaluate the improper integral 1 dx x - 1

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Q: Evaluate the integral.

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Q: Evaluate the integral

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Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

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

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: Evaluate the improper integral e-1/x dx

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Q: dx 4 3

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Q: 10) Evaluate the integrals by substitution 2 -dxp 3 -2 (x² + 2)° a)

A: We have to evaluate the integrals by substitution method: ∫-22xx2+23dx Assuming, t=x2+3 Then…

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the integral. x³ - 6 dx +ク 11 X

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Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

Q: Evaluate the integral ∫dx / √(a2+x2)3.

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Q: Evaluate the integrals

A: ∫1e1x(1+7 ln x)-13dx

Q: 5. Evaluate the Integral ?(x²-2)"dx

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Q: Evaluate the integral S-21 (x+2)(x-1)dx

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Q: Evaluate the integral. x2 2 - x3 dx =

A: We can observe that,  Numerator x2 is of the form of derivative of 2-x3 So, it can be used to…

Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: what is the integral of this? 8 x1/2(3 + x3/2)5 dx

A: Given,

Q: Evaluate the integral of (x^2)/(x^2 + a^2)^3/2 dx

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Q: Evaluate the integral.

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Q: Evaluate the integral of (e^x)^(1/2)

A: Given the integrand (e^x)^(1/2) Evaluate the given integral using u-substitution method. Let

Q: Evaluate the integral: x² e3a dx

A: This question is related to Indefinite Integral, we will use Integration by parts formula to solve…

Q: (a) Evaluate the integral [x (x* -1) ´dx by using substitution.

A: To evaluate the given integral ∫x3x4-12 dx by using substitution.

Q: 3.1 dx x² – 25

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Q: Evaluate the integral. dx 10% (a2 + x2,3/2 a>0 (a2 + x2)3/2' a > 0

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Q: Evaluate the integral 2∫0(x3−x2)dx.

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Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: Evaluate the integral /4- x2 dx. x2

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

Q: 00 The improper integral | dx is x+2) -1

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Q: Evaluate the integral.

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Q: Consider the integral 3 x2 dx 81- r /2

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Q: 3. Find the integral: L,x*dx

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Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

Q: dx Evaluate the improper integral (x-3)2

A: Given query is to find the value of the integral