Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

Q: evaluate the integral.

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

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Q: use a geometry formula to find the exact value of the definite integral (-2x+4)dx on the interval…

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

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

A: Given

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A: For evaluating the given integral, we will use the concepts of integral by parts and integration…

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A:

Q: use a geometry formula to find the exact value of the definite integral  lxl dx on the interval…

A: Line AOC represents the graph of y=mod x in interval [-2,1]. Here coordinates of 0 are (0,0), A are…

Q: Find the integral m tanx X, 1+x?

A: Given :

Q: Evaluate the integral: 2 So sin(4t - u) du dt

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Q: -1 tan 2y dy

A:

Q: x° cos 2x dx

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Q: Find formulas for the functions represented by the integrals.

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Q: 10. Prove by using integration by change in variable the ff. integral: dx du = arcsec x + C xVx2 - 1

A: To show∫dxxx2-1=sec-1x+C.

Q: Evaluate the integral.  integral  sec 5 x  tan  4 x  dx

A: Integration:                    ∫sec5(x)tan4(x)dx                    Solving using Trigonometric…

Q: Use the Table of Integrals to evaluate the integral.

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Q: S sec?(5x+8) dx=?

A: The objective is to evaluate the integral.

Q: Evaluate the integrals

A:

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 indefinite integral.   ∫ Sec3t  tan 3 t dt

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Q: Use Property 8 to estimate the value of the integral.

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Q: Evaluate the integral sec^4(3x) dx.

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Q: Evaluate the integral.  integral  sec3  x  tan  4 x  dx

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Q: Evaluate the integral

A: The integral is given by,

Q: Evaluate the integral: S(sec(x) tan(x) + 4•x)dx .

A: The given integral,    ∫secx.tanx+4.xdx

Q: Prove by using integration by change in variable the ff. integral: dx = arcsec x +C xVx² – 1

A: Our Aim is to prove the given integral given below by using change of integration.∫dxx(x2-1)dx -(i)

Q: Evaluate the integral/ cos'x sin x dx using the substitution u = cos x. cos"x sin x dx =

A: ∫cos11xsinxdx

Q: evaluate using the integral 34. tanx sec x dx II Expand

A:

Q: Evaluate the integral. integral 0  to pie /2    cos x + sin x dx

A:

Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: Evaluate the integral of * se S sec 3x tan? 3x dx

A: In this we have to go through the basics and using substitution so I'm providing hand written…

Q: Solve the integral of arcsin(x) using integration by parts.

A: Given as

Q: Find the product of the integral 1- L sin(x)ecos(x)-2y dxdy

A:

Q: Find the integral S Si, sec2 (cos(x))dxdy sin-y

A:

Q: In Exercise, evaluate the given integral. ∫ (sinx-3cosx)dx.

A: To evaluate the integral

Q: Evaluate the integral. 3 (H) arctan dx /1

A: The given integral is

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A:

Q: 4 -dx is divergent. 1-2х (b) Show that the improper integral

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Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

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Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: Evaluate the integral sec² x dx.

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Q: Evaluate the integral. '8 xet dx (1 + x)?

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: To find the integral: ∫sinxcos2x-3cosxdx Let substitute t=cosx Differentiating both sides,…

Q: fx' tan' (e* )- dx

A:

Q: Evaluate the integral

A: The given integral is: ∫3x1-cosxdx To evaluate this integral, consider x=t  .......(1). On…

Q: Evaluate the integral dx by using part 1 of the Fundemanl Theorem of Calculus, is equal to: -12

A:

Q: Evaluate the integral or state that it is "divergent 1 dx х?(х — 1)

A: To evaluate: ∫1∞1x2(x+1)dx Use partial fraction decomposition to simplify: 1x2(x+1) Let,…