dx J (3+ x²)3/2

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

A: Given: ∫01x1+ex2dx

Q: Use integration by parts to find the indefinite integral ∫x√(x − 1) dx

A:

Q: fx sin(5x)dx

A: use integration by parts take

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

A:

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: - $x² cos(x³) dx

A:

Q: use the integration by parts to evaluate the intergral  x In2 x.dx

A:

Q: Evaluate the indefinite integral Fl the substitution rule 2x+3 dx Vx+3x+ 5

A: Topic: integration

Q: The area between y= 2sinx and y = sin2x for 0<x ST is

A:

Q: Use integration by parts to evaluate the definite integral: 0.9 -200 dx 5xe %3D -0.8

A:

Q: x² sin 2x dx

A:

Q: Use integration by parts to evaluate the integral. 5x dx Хе

A: The given integral ∫ xe5x dx.

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

A: Consider the integral

Q: 4 dx x4-1

A:

Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

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: Use substitution to find the indefinite integral x +2x dx x4 + 4x² = 3 x+2x dx%3D x + 4x² - 3

A: We have to solve

Q: Explain the application of integration to area.

A: .

Q: Use integration by parts to find the integral.  ∫ 3xln( x )dx

A: Let,  I=∫3xlnxdx If u and v are functions of x, then by using integration by parts ∫uv dx can…

Q: 10 dx 4x3 –4x²+5x

A: We need to find ∫104x3-4x2+5xdx. So,…

Q: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-

Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

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

A:

Q: double integral of ex(sin4x)

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

Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Integral of dx/√8x-x^2

A: Given,            Integral of dx/8x-x2

Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

A:

Q: Evaluate the integral ∫dx / sinhx.

A:

Q: Use integration tables to find or evaluate the integral ∫ x /(x2 + 4x + 8)   dx .

A: Given, ∫xx2+4x+8dx We can write it as, ∫xx2+4x+8dx=∫xx+22+4dx Now by using the substitution u=x+2 we…

Q: Use integration by parts to evaluate the integral. 2x In(4x) dx +C

A:

Q: Use the tabular method to find the indefinite integral. ∫x2e2x dx

A: Since we have to compute the indefinite integral given below:-∫x2(e2x)dx - (i) using Tabular Method.

Q: Зх-2 dx%3D V2x+3

A: We need to evaluate the following integral I = ∫3x-22x+3dx                            ........1

Q: Use integration by parts to evaluate x In(x)dx.

A: We have to evaluate integration of xln(x) by parts.

Q: Use order of h8 Romberg integration to evaluate xe2x dx

A: Let us start solving and find et value

Q: use integration by parts to write the integral sec^7 (3x) dx in terms of integral sec^5 (3x) dx

A: ∫sec7(3x)dxPut 3x=uso 3dx=du=13∫sec7uduNow ∫sec7udu=∫sec5usec2udu

Q: fxcsc² x dx

A:

Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

A:

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 the general power rule for integration to find the indefinite integral. a)∫10x/(√5x2+13) dx…

A: a) The general power rule of integration is of the form ∫fxnf'xdx=fxn+1n+1+c   Let fx=5x2+13. So…

Q: 2. dy dx V1 +x2

A:

Q: Use integration by parts to evaluate the integral: 4xcos(-5x)dx

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Q: J1/4 Jx2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3x5 + 1) dx

A: see 2nd step.

Q: In x dx Evaluate

A:

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

A: To Determine: Use integration tables to find or evaluate the integral. Given: we have ∫32x9x2-1dx…

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

A: