-dx V 4 + 9x

Q: Use integration tables to find or evaluate the integral.

A: Given: ∫01x1+ex2dx

Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the following integral: ∫xx2+4x+8dx

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

A:

Q: Using residues, calculate the improper integral 1 dx . 1+ x4

A: By using residue theorem the above integral is solved as follows

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A:

Q: Evaluate the integral using integration by parts where possible. (Use c for the constant of…

A: The objective is to evaluate the integral using integration by parts.

Q: Use integration tables to find or evaluate the integral ∫ x / √(4 + 5x)  dx

A: Consider the given indefinite integral: Here the objective is to evaluate the given indefinite…

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: The explanation of answer as follows

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A:

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)

Q: Use a table of integrals to find the indefinite integral

A:

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: We have to evaluate the integral                                               ∫x2-19-xdx

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ x2e2x dx

A: Known fact: ∫u dv=uv-∫vdu

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: Given

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A:

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: By using integration by parts, the value of the integral In 2x dx

A: The given integration is ∫ln 2x dx

Q: Using integration by parts, the integral | sec³dx is equal to

A: Here we use the integration by parts:

Q: Use integration by parts to find the integral: (Integral sign) 3xe^x dx

A: To find the given integral by using integration by part formula.

Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ ln 5x dx

A: Given that, ∫ ln 5x dx We have to find u and dv to use by parts.

Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: Evaluate the integral. (Use C for the constant of integration.) (4x4 3x-2 + 5x-5 + 2) dx

A: By using integration formula we can easily solve it. See attached file for a step by step…

Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

A:

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A:

Q: .2 32. 8x dx, x > 8 -

A:

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A:

Q: Evaluate the integral 5(x – 9) dx (x + 5)(x – 2) Note: Use an upper-case "C" for the constant of…

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ x sec2 x…

A: Consider the given integration as ∫xsec2xdx

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: dx x²V4 – x2

A: Solve by trigonometric substitution

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: *to find:- integral value of the given function.

Q: Use the general power rule for integration to find the indefinite integral. a)∫10x/(√5x2+13) dx…

A: a) The general power rule of integration is of the form ∫fxnf'xdx=fxn+1n+1+c   Let fx=5x2+13. So…

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate.      ∫xe9x…

A: Given: ∫xe9x dx To determine: Identify u & v for finding the integral using integration by…

Q: 2-V1-x dx by interpreting the integral in terms of area. -

A: ∫-112-1-x2 dx On simplification, we get ∫-112-1-x2 dx=∫-112 dx-∫-111-x2 dx   →1 Now consider, ∫-112…

Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

A:

Q: Using integration by parts, the integral f In(16x*) dx is equal to:

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 27 – 6x – x2 dx

A:

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: We need to compute the integral using integration by parts with the indicated choices of u and dv.

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: The integral will be as follows:

Q: Use integration by parts to evaluate the integral. ∫xe^4x dx

A:

Q: Use integration tables to find or evaluate the integral.

A: To Determine: Use integration tables to find or evaluate the integral. Given: we have ∫32x9x2-1dx…

Q: Using integration by parts, the integral f In(8x2) dx is equal to:

A:

Q: an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

A: