How many times do you need to integrate by parts to reduce ff(In x)° dx to an integral of In x? ·

Q: Use integration by parts to find the indefinite integral. x In x dx

A:

Q: Select the basic integration formula you can use to find the indefinite integral.…

A:

Q: 2 3x dx xp, Evaluate the indefinite integral.

A:

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

A: To find: The integration of ∫e3x1+ex3dx. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C…

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

A:

Q: 1 2 -5) dx x3

A:

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: To evaluate the integral |(2x+1)tan Vx dx using Integration by Parts, we should choose

A:

Q: Find the indefinite integral.

A:

Q: 52. Use Property 8 to estimate the value of the integral 1 dx Jo 1 + x2

A: Given: Integration 0 to 2 of (1/1+x^2).dx

Q: When applying the formula for integration by parts, how do you choose the u and dy? How can you…

A:

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: Evaluate the integral dx et – e-x

A:

Q: The result of the integral is equal to 4 √ = (x − 1)(x + 1) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan( 2 dx sec 20 20

A:

Q: Can we evaluate the integral of 1/(x^2+2x)^3/2 dx by using x= sec¿ - 1

A: Consider the equation

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

A:

Q: Evaluate the integrals

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: dx (1 – x3

A:

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Integral from 1 to e of 5t^2 lnt dt

A:

Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

A:

Q: Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A:

Q: Evaluate the integral. ez dx

A:

Q: 1 |xe*dx 1-

A:

Q: Evaluate : Integral from 0 to 2 : 2x^2 e^-2x dx

A: To determin the value of the definite integral.

Q: s/4 dx 2- 1+tanx 3.

A:

Q: Find the integral

A: To integrate ∫ln|4x+5|dx, use the substitution method and consider 4x+5 as t. Differentiate both…

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 42) | 7 dx 1+X

A:

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: Evaluate the integral by reversing the order of integration. '2 8. 7e* dx dy

A: we have to evaluate ∫08∫y327ex4dxdy Here, R be the region bounded by x=y3, x=8 , y=0 and y=8 is…

Q: Find the integral: 2 1 Integral 1 to 2   (1 divided by x - 1) dx

A:

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: How many times will you perform integration by parts to evaluate A 4 B 3 1 (D) 2 sin (Inx) dx

A: Solution is here

Q: Suppose we were instead asked to calculate the integral x sin(x) dx. Can you calculate this integral…

A:

Q: | (3x² + 4x + 1) dx

A: The power rule of integral is,

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

A:

Q: Find th Integral. for the constant of Integration. |(7 cos(x) – 2 sec?(x)) dx

A:

Q: Use a table of integrals to find the indefinite integral ∫ e3x /(1 + ex)3 dx

A: Use a table of integrals to find the indefinite integral ∫ e3x /(1 + ex)3 dx

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to…

A:

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: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: find Hhe integral of Jx ln (x*- 4) dx 2

A:

Q: What is the integral of dx/(1_4x)

A:

Q: 2 S sin (ax)cos(ax)dx

A:

Q: Evaluate the integral of ex*+1 2x dx.

A:

Q: 3+ In(2x) dx 00 X-1 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(8x) sec?(8x) dx +C x

A:

Q: Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule…

A: The given integral is, 12π∫-22e-x2dx