(In(z))® Consider the indefinite integral dz: This can be transformed into a basic integral by letting U = and du dz Performing the substitution yields the integral du

Q: 1 d.x x In x i)

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

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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: Find the indefinite integral using any method.

A: The integral to be solved is . Substitute . Differentiate both sides.

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: To make the answer in inverse hyperbolic form, do the following substitutions. Substitute x=sint in…

Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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Q: do a double integral where x ranges from 0 to 1/2 and y ranges from 1/4 to 1/2

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(st) sin(5t) dt

A: Given : ∫ecos5tsin5tdt

Q: JxVx-6 dx cos(x) dx sin(x)+2

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Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) fx²e-2*dx ii) fx?Sinxdx

A: We have to evaluate the given integration.

Q: Evaluate the indefinite integral. dx xV 25 – x2 -

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Q: Evaluate the integral.  integral  sec 3 x  tan  4 x  dx

A: Given

Q: dx x In* (x)

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Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: Evaluate the improper integral. If the integral diverges, state so. dx 1. dx 2. (x + 1)² 0.

A: 1.Given, II=∫1∞dxx23As it is an improper integral,we write it as=limt→∞∫1tdxx23=limt→∞∫1tdxx232…

Q: Evaluate the indefinite integral  (integral) x ln(x2) dx

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

Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: I need help solving this integral   integral of e^(-x^2) from negative infinity to positive…

A: The given integral is;

Q: Find the general indefinite integral. (Use C for the constant of integration.) x' dx

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Q: Use a table of integrals with forms involving In(u) to find the indefinite integral. (Use C for the…

A: To find the indefinite integral, ∫x6ln(x) dx

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your…

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Q: What are two options for finding the indefinite integral below? ∫ 5t dt

A: ∫5t dt First option: We can integrate it directly by using the formula ∫xn dx=xn+1n+1+C, we get ∫5t…

Q: Find the indefinite integral by making the substitution x = 2sin(theta)   integral of…

A: Given integral:∫x(4-x2)32dxwe need to evaluate the integral by substituting,x = 2 sinθ

Q: Find the general indefinite integral using definition. х5 + 3х — Vx + dx X.

A: we need to evaluate the integral,∫x5+3x-x+1x dx

Q: Evaluate the indefinite integral: 3 dx J x In(5x)

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Q: Evaluate the integral. (Use C for the constant of integration.) fu- (x – 3)sin(Tx) dx

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Q: Find the general indefinite integral using definition. х5 + 3х — ух + dx

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Q: fxVx+5 dx :

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Q: Compute this improper integral showing all steps.  integral of x ln(x) dx from 0 to 2.

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Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: To Calculate the integral in terms of the inverse hyperbolic functions. Given the integral…

Q: Determine the indefinite integral below. 3x 7 e + Vx' dx -7e 3x dx = +.

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Q: dt

A: We have to find indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt

A: To find ∫ t5e-t6dt

Q: Use a table of integrals with forms involving a + bu to find the indefinite integral ∫ x2/(5 + x)…

A: Given integral  ∫x25+xdx Add and subtract 25 from the numerator.…

Q: .find the integral by Gamma fun y(-ny)5 dy

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Q: Evaluate the indefinite integral.

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Q: 1. Find the exact value of the iterated integral by changing the order of the integration: 8 2 1…

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Q: If the substitution x = sin y is made in the integrand of . - A dx, the resulting 1-x integral is

A: Put value in  given  integral

Q: [(2x-1)"dx

A: Here we have to find the given value of the integration: ∫2x−110dx

Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

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Q: Find the Indefinite Integral and 5x + dx (5x), Step 1 To obtain the glven Integral, rewrite the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt 9 + tan(t) CoS

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Q: | rv25 – x2 Evaluate the indefinite integral. dx xv 25 – x2 -

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

A: To integrate: ∫lnxx3+2lnxdx Let substitute t=3+2lnx.  t=3+2lnxdtdx=0+2xdt2=dxx Substituting the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(25t) sin(25t) dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec2(0) tan²(0) de

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Q: s(3x)dx, u=3X Scos(3) dx =?

A: We use substitution method to solve the integration.

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2x+ 0 dx T2 +0x-9 In x² –…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

A: Given : ∫( 0 , 0 ,0)( 1, 2, 3)  3 x2y dx + ( x3 - z3 ) dy - 3y z2 dz