Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant o 7-> dx 5x3 + x

Q: Find the indefinite integral ∫ x /√(x4 − 1)   dx

A: Let

Q: Find the indefinite integral.

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

Q: Find the indefinite integral. Vx +2 -dp- 3 X,

A:

Q: Find the indefinite integral.

A: We have to evaluate the following integral: ∫x2-3x+2x+1dx

Q: |x-4|dx

A:

Q: Evaluate the indefinite integral. dx 1 + x10

A: ∫1x2+a2 dx = 1a tan-1xa+C

Q: Find the indefinite integral. ∫(x3ex) dx

A:

Q: Find the indefinite integral.

A: ∫x25-x3 dx Put, 5-x3=t⇒0-3x2=dtdx⇒-3x2 dx=dt⇒x2 dx=-dt3

Q: Find the integral. Show complete solution. x+4 dx X-4 1.

A: ∫x+4x-4dx

Q: Find the indefinite integral by method of partial fractions. You must show all of your work. 2…

A:

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

A:

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

A: Given integral:

Q: Use substitution to find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the indefinite integral

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Use substitution to find the indefinite integral

A: Given, ∫2+lnxx dx

Q: Use substitution to find the indefinite integral.

A: Integration by substitution is a method to solve integrals line in the above question where the…

Q: Find the indefinite integral ∫ (x2 + 8) /x√(x2 − 4)  dx

A: Given that: The indefinite integral ∫x2 + 8xx2 - 4 dx

Q: Evaluate the integral ∫x/(x2 - 4)3 dx

A: We have to evaluate the integral: ∫xx2-43dx We will solve this problem by substitution method, Let…

Q: find the indefinite integral (x^4+5)/(x^2+2x+2)

A: given expression (x^4+5)/(x^2+2x+2) and we need to find its integral.First we write the expression…

Q: Find the indefinite integral. x² + 4x +3 dx x3 + 6x2 + 9x + 8

A:

Q: Use the Method of Partial Fractions to set up a new integral equal to the indefinite integral below.…

A: We have, the given integral as I=∫53x3+12xdx Let us consider that, fx=53x3+12x On solving further,…

Q: Use partial fractions to find the indefinite integral. (Remember to use al 9-x2 10 dx 5x³ + x

A:

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: Find the indefinite integral.

A:

Q: Evaluate the integral ∫x(x - 1)10 dx

A: the given integral is: ∫xx-110dx let the given integral be I. therefore, I=∫xx-110dx substitute…

Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

A: We have given a integral ,  ∫04 xx2 - 9dx First we will find undefined singularity , Here , x2 - 9 =…

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: Find the indefinite integral.

A: Given:          ∫x2+2x-6x4dx Expand: x2+2x-6x4=1x2+2x3-6x4 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

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

A: To sove: ∫x2-77xdx Solving the given indefinite integral,…

Q: valuate the integral ∫x2/x3+1dx using an appropriate substitution.

A:

Q: Evaluate the indefinite integral. x² dx 1 + x6

A: To find :- Integral of ∫x2/(1+x6)       ........................(1)   Solution :- According to the…

Q: Evaluate the indefinite integral:  x3ln(x2-1)dx

A: Given integral By using the following substitution, we get

Q: eln x -dp- x(elnx + 3)

A:

Q: Find the indefinite integral. dx | 7x2 +2

A: Given, I=∫x7x2+2dx

Q: Find the indefinite integral. x² + 4x + 3 dx x3 + 6x2 + 9x + 8

A:

Q: evaluate the indefinite integral dx/((16+x^2)^2)

A: Use the fomula to simplify the integral .

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

A:

Q: 2x3 - 4x2 159x + 71 dx | x2 – 2x – 80 -

A: Explanation of the solution is given below...

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

A: The given integral is ∫x5-5xx4dx

Q: Use partial fractions to evaluate the definite integral. integral from 0 to 5 of (6)/(7(x^2)+8x+1)dx

A:

Q: Find the indefinite integral. x2 + 4x + 3 dx x³ + 6x2 + 9x + 6

A: Here we have to solve integral equation by substitution.

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 ∫(x4 + 5x) dx

A: Given: ∫(x4 + 5x) dx Now by using the sum rule, ∫fx±gxdx=∫fxdx+∫gxdx⇒∫x4dx+∫5xdx

Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

A:

Q: 1 dx x2 + 3x

A:

Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

A: