2 Evaluate the integral: 3x(5-3x dx

Q: Evaluate the Integrals: ∫ (2x2+3)dx/x(x+1)2

A: Given the integration I=∫2x2+3x(x+1)2dx

Q: Evaluate the integral.

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Q: Evaluate the integral. x + dx

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Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

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Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

A:

Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

A:

Q: Evaluate the integral x dx. -4 3 |x| dx =] -4

A:

Q: Evaluate the integral ∫x/(2x - 1)2/3 dx

A: Let I=∫x2x-123.dxLet 2x-1=t      x=12t+1     dxdt=121      dx=12.dt∴ I=∫12t+1t23.dt.12…

Q: Evaluate the integrals

A: Given: The integral

Q: V3 – x² dx

A:

Q: evaluate the integral from 1 to 3 of 4/x^3 dx

A: Given: ∫134x3dx

Q: Evaluate the integral dx et – e-x

A:

Q: Evaluate the integral. -11x xe dx

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Q: Evaluate the integral. integral    (  x2 -5x +16 )/ (2x+1) (x-2) 2 dx

A:

Q: Evaluate the integral. (4x° + 3e*) dx

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Q: x + 2x – dx

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Q: Evaluate the integral. 0.6 x2 dx V 9 - 25x2

A:

Q: Evaluate the integral: / (3x+5)dx x²+2x+1

A: ..............(1)

Q: Evaluate the integral ∫dx / x+3√x.

A:

Q: Evaluate the integral. dx 2x – 1

A: Let 2x - 1= u hence, 2dx = du Or, dx = du/2 when x = 2; u = 2 x 2 - 1 = 3 when x = 5 ; u = 2 x 5 - 1…

Q: Evaluate the integral: x(19 – x)3/2 dx = %3D

A: Given: ∫x(19-x)32dx

Q: Evaluate the integral. 4(x – 1)² dx x2

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Q: Evaluate the integral: V9 – x² dx

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Q: Evaluate the integral. (Use C for the constant of integration.) | (4x* - 2x-2 + 3x-5 + 5) dx

A:

Q: Evaluate the integral. integral    (x 3   - x + 6 ) / (x  2  +2)  (  x2  + 1) dx

A: To evaluate:  ∫x3-x+6(x2+2)(x2+1)dx

Q: Evaluate the integral.

A:

Q: Evaluate the integral || x* +! dx.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Evaluate the integral. integral    (  x 3 +1 )/ (x2 +1) dx

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: dx Ух — 12

A:

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

A:

Q: Evaluate the integral. 0. (4.4x2 - 1) dx

A:

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

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Q: Evaluate the integral x2 cosh 2x dx.

A: Given:

Q: x(4+ x²)!/3 dx

A:

Q: Evaluate the integral. dx 2x

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Q: Evaluate the integral. integral    1     /   x   (x 2 +  4) 2 dx

A: Consider the integral  ∫1xx2+42dx

Q: Evaluate the integral using trig substitution: ∫x2√(3+2x-x2) dx

A: The integral function is ∫x23+2x-x2dx

Q: Evaluate the integral. integral       x +4 / (x  2 + 2  x  + 5 ) dx

A: The given integral ∫x+4x2+2x+5dx can be evaluated as, ∫x+4x2+2x+5dx=∫x+4x+12+22dx…

Q: 1 dx = V(x+8)°

A:

Q: Evaluate the integral: | x(4 - x)3/2 dx'

A:

Q: Evaluate the integral. | 6 x/2(3 + x3/2)7 dx II

A: we will take x^3/2+3=u and then solve it in u and then substitute the value of u in the equation at…

Q: Evaluate the integral. integral     x 3  -  2x 2  +  x +1 / (x 4 + 5 x 2 + 4   ) dx

A: Our Aim is to evaluate the integral given below:-I=∫(x3-2x2+x+1)(x4+5x2+4)dx -(i)

Q: Evaluate the integral. x+ 10 dx x+2

A:

Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We…

Q: Evaluate the integral. integral    0 to 1     x  / (x  2 + 4   x  + 13 ) dx

A: Given integral is ∫01xx2+4x+13 dx. ∫01xx2+4x+13 dx=∫01xx+22+9 dx

Q: 1/3 0 4x dx √25-x

A: Given Problem:- ∫0134x25-x4dx

Q: evaluate the integral.

A:

Q: 1 * dx 1+csc x

A:

Q: Evaluate the integral. integral    10/ (x-1) ( x2  + 9) dx

A: Explanation: We need to find that,  ∫10(x-1)(x2+9)dx Take constant out 10∫1(x+1)(x2+9)dxUsing…

Q: Calculate the integral ∫(3/3√x + 2/√x)dx.

A: Given integral: Formula used: