Integrate using trigonometric substitution Integral of x/(x^2-1)dx

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

A: Given: ∫01x1+ex2dx

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

A: To find the indefinite integral I =∫xsec2x dx By using integration by parts, ∫fg'=fg-∫f'gf = x ,…

Q: Use integration by parts to evaluate the integral: [2¹¹ ln(a) dx =

A: ∫(1stfunction).(2nd function)dx=(1st function)∫(2nd function)dx-∫ddx(1stfunction)∫(2nd function)dxdx…

Q: Evaluate sin (Inx) dx. Int second integration by parts

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Q: Analyzing the Integrand Without integrating, explain why x(x? + 1)2 dx = 0.

A: Odd Function A function f(x) is a odd function if and only if   f(-x) = -f(x) Even Function A…

Q: use integration by parts to evaluate sinh x cosh xdx

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Q: Use integration by parts to find the indefinite integral ∫x arcsin 2x dx

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

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Q: Evaluate the indefinite integral by using integration by parts2x cos 3x dx

A: Let u=x, dv=cos3x.Integrating by parts:

Q: Evaluate integral. integral 1 to 4 (square root 5/x) dx

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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 indefinite integral. (Use C for the constant of integration.) secx tan x dx

A: ∫sec7x tanx dxu = sec7xdudx = 7 sec7x tanxdx = 17 sec7x tanx du⇒17∫1 du= u7substituting u = sec2x=…

Q: Use integration by parts to find the integral: (Integral sign) 7x ln x dx

A: Consider the integral

Q: calculate the indefinite integral.

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Q: Integrate § 8x^3 dx from -2 to 2 and explain (with a diagram) how this area could be 0.

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Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

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Q: Calculate the indefinite integral: ∫ sec2 x dx

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: Explain the application of integration to area.

A: .

Q: integral from 0 to 1 of square root of (2x - x^2) dx

A: Given, ∫012x-x2dx  We have to evaluate it..

Q: Use the tabular method to find the indefinite integral. ∫(6 + x)√(4x + 9) dx

A: The indefinite integral, ∫6+x4x+9dx.

Q: Use integration by parts, together with other trig integral techniques to evaluate  integral of…

A: Given function is: I=∫lnx2-x+2dx Integrating it by parts: Take: u=lnx2-x+2, dv=dxdu=1x2-x+22x-1, v=x…

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

A: The given integration is ∫ln 2x dx

Q: Integral of √sinx dx

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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: Evaluate the integral from -pi to pi of xsinx dx (integration by parts).  Thanks

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Q: Evaluate the indefinite integral using substitution. (Use CC for the constant of integration.)

A: Given integral can be expressed as

Q: double integral of ex(sin4x)

A: Let us first simplify the expression.  So,             exsin4x=ex1-cos2x2             =ex1-cos2x22…

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(7x) sec2(7x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx +7 tanx

A: we find out integration of given function.

Q: Use integration by parts to find the indefinite integral ∫arctan 2x dx

A: Consider as I=∫tan-12x dx Now let u=tan-12x, v=1 Use the property of integration which states, ∫uv…

Q: Use integration by parts to evaluate the indefinite integrals.

A: [integral formula ]

Q: Evaluate the integral ∫dx / sinhx.

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Q: Find the indefinite integral. (Use C for the constant of integration.) |Vtan(8x) sec²(8x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) | cosh(5x) dx

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Q: Determine the indefinite integral. 25 dx x In 7x 25 S= Sx157x x In 7x dx =

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Q: Evaluate the integral sinx*ln|1+sinx|dx through integration by parts.

A: Let I=∫sinx·ln1+sinxdx. The integration by parts formula is ∫udv=uv-∫vdu. We choose u and dv…

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: Use integration by parts to evaluate the integral. sin(In(5x))dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: indefinite integral of x* 4throot of 5x+1 dx

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Q: Use Property 8 of integrals to estimate the value of the integral. ∫20(x3-3x+3)dx.

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Q: Find the indefinite integral using integration by partstabular method

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7 - ex dx

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Q: Find the indefinite integral by using substitution followed by integration by parts. ∫x5ex2 dx

A: Given: ∫x5ex2dx

Q: Use integration by parts to find the indefinite integral ∫x sec2 x dx

A: Given: ∫x sec2 x dx

Q: 7 (x +7) In@) dx

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Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

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Q: when integrating an indefinite integral, your antiderivative must include a "+C" to represent the…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.