Consider the integral (In(x))° dx:

Q: Evaluate the integral.

A:

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

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Q: Integration in REVERSE ORDER

A: Given:

Q: Evaluate the integral. dx

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Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos(x) dx

A: ∫tan8xcos9xdx

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

A:

Q: Evaluate the integral by reversing the order of integration. 16 dy dx y³ + 1

A: From the given problem, it is observed that the region of integration is x,y: x≤y≤4; 0≤x≤16. Draw…

Q: dx

A: Consider the integral

Q: Evaluate the double integral ∫0 to 1 ∫√y to 1 SQRT(2 + x^3) dxdy by reversing the order of…

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Q: Evaluate the integral. (Use C for the constant of integration.) tan3(x) sec (x) dx

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Q: dx

A: Given  The improper integral is ∫011xdx.   Formula :- Power rule of integration :- ∫xndx=xn+1n+1+c

Q: In ly-y-cf dy

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Q: Evaluate the integral dx et – e-x

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Q: Find the integral of dx Vx+1

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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 integral in terms of the constant: dx

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Q: Evaluate the integral of x sin x² dx from x = 0 to x = VT.

A: Given,         The integral of xsinx2dx from x=0 to x=π .

Q: Consider the integral sin (5x). dx: Applying the integration by parts technique, let u = and dv = dx…

A: Given that the integral   ∫sin-1(5x) dx .

Q: Evaluate the integral by reversing the order of integration. dx dy

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Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: xe dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 tan (2x) sec (2x) dx

A: Given that: ∫3tan3(2x)sec5(2x)dx

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

Q: sin x dx dy, is The value of the integral equal to

A: Direct integration is not possible in this case so here first we switch the order of integration of…

Q: Evaluate the integral by reversing the order of integration e dxdy

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Q: Find the integral of (x)(arctan x) dx,

A: Given: evaluate

Q: Evaluate the integral. (Use C for the constant of integration.) (tan²(x) tan^(x) dx

A: Given       I=∫7tan2x++tan4xdx      = 7∫tan2x1+tan2xdx      = 7∫tan2x.sec2x dx∵sec2x-tan2x=1

Q: sketch, reverse and evaluate the integral dy dz 15

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Q: Evaluate the integral. ez dx

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Q: Evaluate In x dx exactly by changing it to a dy integral.

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Q: Evaluate the integral. inegral x4 /(x-1) dx

A: Given: ∫x4x-1dx

Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

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

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Q: Evaluate the integral. (Use C for the constant of integration.) om | (In(x))? dx

A: To find: Rewriting the integral and applying integration by parts: Applying formula:

Q: The value of integral .dz is (z – 1)?

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Q: Evaluate the integral.

A: We have to evaluate the indefinite integral: ∫dxex1-e-2x Rearranging the integral,…

Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) sec (x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

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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: Evaluate the integral by using u-substitution and changing the limits of integration. 3x dx J, ex++1

A: ∫-103xex4+1dx Let say, u=x4 Therefore, du=4.x3.dx  ⇒ x.dx=du4x2=du4u. x=-1 ⇒u=1x=0⇒u=0 Therefore,…

Q: sketch, reverse and evaluate the integral dy dx

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Q: r8 2 dx dy

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Q: Evaluate the integral. (Use C for the constant of integration.) ∫ 3 tan2(x) dx

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Q: Evaluate the integral.  integral   csc x  dx

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Q: Evaluate the integrals ∫tan (ln y)/y dy

A: Given ∫tan(ln(y))ydy

Q: Evaluate the integral. (Use C for the constant of integration.) | tan (x) sec(x) dx

A: Consider the integral ∫tan3xsecxdx

Q: Evaluate the iterated integral by choosing the order of integration. '5 xe* + 4y dy dx Ji

A: To evaluate the integral by changing the order of integration: ∫01∫15xex+4ydydx

Q: dx 北

A:

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

A: