Use substitution to find the indefinite integral x +2x dx x4 + 4x² = 3 x+2x dx%3D x + 4x² - 3

Q: Find the indefinite integral.

A: We find this indefinite integral by the method of substitution. We re-write the integral in a…

Q: Use a change of variables or the table to evaluate the following indefinite integral. 3x* dx 15- 12x…

A: Let,

Q: 1 + 10/x| dx 3x3

A:

Q: Evaluate integral of dx/x-2 from -6to-10

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: Evaluate the indefinite integral: (x² – 3)*(2x) dx -

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Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral. x + 4 dx x2 + 8x + 17

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Q: Use u-substitution to evaluate the integral: x/(x+2)^3   dx

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

A:

Q: Find the indefinite integral ∫(2x2 + 7x − 3) / (x − 2) dx

A: Given integral is, ∫(2x2 + 7x − 3) / (x − 2) dx

Q: Evaluate the indefinite integral. -2 -dx. x2 + 10x + 25

A: To evaluate the indefinite integral.

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

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

Q: Find the indefinite integral ∫ (x2 − 2x) / (x3 − 3x2) dx

A: Given: ∫x2-2xx3-3x2dx for solving this integral we substitute  x3-3x2=t now differentiate both side…

Q: x + 2 x3 - 2x² - 3x dx

A:

Q: Evaluate the indefinite integral:  ∫ (x + 1)(x2 + 2x)3/4 dx

A: Given integral is ∫x+1x2+2x34dx. Consider u=x2+2x.

Q: Find the indefinite integral. x2 + 4x +3 dx x+ 6x2 + 9x +8

A: Given : Indefinite integral ∫x2 + 4x + 3x3 + 6x2 + 9x + 8dx   To find : Solution of given integral…

Q: Evaluate the integral. 3. x² + x + 1 dx Jo (x + 1)2(x + 2)

A:

Q: Find the indefinite integral.

A: To find: The indefinite integral of ∫1x231+x13dx. Formula used: ∫afxdx=a∫fxdx ∫1xdx=ln x+C

Q: Evaluate the integral. 2 x²-5 dx 8 2 X 8 X X -5 dx=

A:

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

A: Given: ∫x(19-x)32dx

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: Find the indefinite integral.

A:

Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

A:

Q: Evaluate the indefinite integral.

A: We will solve the following

Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: Evaluate the integral x³ /x² +6 dx. X + 6 dx. .3 x +6 dx =

A:

Q: Use substitution to find the indefinite integral. 4x° e 4x* dx .3 e 4x* dx =

A:

Q: Find the indefinite integral ∫(4x3 + 3) / (x4 + 3x) dx

A:

Q: Find the indefinite integral ∫(x3 − 3x2 + 5) / (x − 3) dx

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

Q: evaluate the integral.

A: Given integral:

Q: 3x dx x +x-6 2

A:

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

A:

Q: Find the indefinite integral X-4x14 dx. | 8x 4x14. 8x dx: %3D

A: given,       ∫x-4x14+18xdx

Q: Evaluate the integral  (x+9) / (x^2+4) dx

A:

Q: x(4+ x²)!/3 dx

A:

Q: Find the indefinite integral. x* - 1 dx (x5 – 5x)³

A:

Q: Evaluate the integral ∫(x + 5)(x - 5)1/3 dx

A: Since, we have to evaluate the integral given below:-I=∫(x+5) x-53 dx    -(i)

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: Evaluate the indefinite integral. x + 3 dx x2 + 6x

A: Given,            ∫x+3x2+6xdx

Q: Find the indefinite integral ∫ (x2 + 2x + 3) / (x3 + 3x2 + 9x)   dx

A: To evaluate ∫x2+2x+3x3+3x2+9xdx

Q: Find the indefinite integral. x° - 5x xp. 4 X° - 5x dx = 4

A: The given integral is ∫x5-5xx4dx

Q: ((x^3+5x^2-4)/x^2)dx

A: ∫x3+5x2-4x2dx Expand we get  ∫x3+5x2-4x2dx==∫ x+5-4x2dx Apply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdx =∫…

Q: Find the Indefinite Integral. x²-2x dx メ-3

A: We have to find the Indefinite Integral  ∫x2-2xx3-3x2dx.

Q: Find the indefinite integral. x² + 4x + 5 dx x3 + 6x² + 15x + 8

A:

Q: Evaluate the indefinite integral x5 – 5x dx x3

A:

Q: Find the indefinite integral ∫( x3 + x + 1)/( x4 + 2x2 + 1) dx

A: Assume the given integral be I, rewrite it. Break the integral in two parts.…

Q: Sx (x² + 4)5 Se3*dx

A:

Q: dx V5 + 4x – x²

A: Integrate

Q: 2x +4 dx x* +4 4

A: