Find the integral. dx Select one: O A. 5ex - In lx| + C O B. 5xex - In |x| + C 5ex -1 2x2 C/2(x) with superscript (2)) + C" style="vertical-align: -21.0px;"> (X) with superscript (2)) + C" style="vertical-align: -21.0px;">

Q: -5 Evaluate the integral using integration by parts technique : a Vr+2 dx

A: on applying by parts we get

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral    0 to 2     […

A: To determine: The value of the integral,

Q: Evaluate the integral. show that it is divergent.  integral  x 2   - 2  x dx

A:

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral   [ 2x 3  - 3…

A:

Q: dx Use the Substitution Formula to evaluate the integral x(Inx)*

A: The given Integral is ∫24dxxlnx2

Q: Evaluate the integral using the properties of even and odd functions as an aid.

A:

Q: 5: Evaluate the integral using integration by parts technique : a VT+2 dr

A: i explained everything in the 2nd step to se complete solution please visit 2nd step

Q: Use a double integral to find the area of the region. The region inside the circle (x − 3)2 + y2 =…

A:

Q: Calculate the integral using a hyperbolic substitution. (Express numbers in exact form. Use symbolic…

A: To evaluate the integral.

Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

A:

Q: Evaluate the integral using the properties of even and odd functions as an aid.

A:

Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) (x² + x + 1)Sinxdx ii)…

A: Given: I1=∫x2+x+1sinxdx, I2=∫x32x+1dx For evaluating I1, we will use integral by parts theorem…

Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) ſx³ V2x + 1dx

A:

Q: 5. S √x²-a² dx

A:

Q: Evaluate the integral I = 3 sin² x dx Include 4 decimal places on your computation. a. single…

A:

Q: The area of the region outside the curve r-2+2sin0 and inside the curve r-6sin0 is given by which…

A: given:- r=2+2sin∅ r=6sin∅

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)

Q: Show the integral with the order of integration switched. Do not solve the integration. 1-2³+2y_du…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

A:

Q: Givm trapgoidal rule with h =0.25 by Using apploximate the integral.

A: The solution is Given as

Q: Use integration by parts to evaluate the definite integral. 3t? In tdt

A:

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral 0 to 2    [ x2…

A: Solution -  Let the integral be f(x) then, f(x) = ∫02x24-x2 dx,…

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

Q: 5 -dx x² – 4

A:

Q: Evaluate the integral using the properties of even and odd functions as an aid.

A: Given: I=∫-22x2x2+1dx let's  fx=x2x2+1 first checking fx is odd or even, for that we put x=-x in fx,…

Q: b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² + x + 1)Sinxdx ii)…

A: Answer

Q: 3. Use composite Simpson's rule (a combination of 1/3 and 3/8 rule), to approximate the following…

A: Given that, the integral is ∫02x2e-x2dx, the function is fx=x2e-x2. It is known that, the formula…

Q: Evaluate the integral using the properties of even and odd functions as an aid.

A: ∫-22(x3-2x)dx

Q: sinx cos

A:

Q: 6. Evaluate the iterated integral by first reversing the order of integration. Do not use technology…

A:

Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

A:

Q: Sx³(a² + x²)+/2dx

A:

Q: -dx V 4 + 9x

A:

Q: Use n = 4 to approximate the value of the integral by the trapezoidal rule.  ∫(upper limit 5, lower…

A:

Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

Q: Evaluate the integral using property of 00 √ xe-2x dx the PDF

A:

Q: Use a double integral to find the area of the shaded region. n/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5…

A:

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral [ sqrt (e2x   -…

A: Given:     ∫e2x−1dx

Q: Evaluate the integral by reversing the order of integration. Evaluate 5ex2 from…

A: Consider the given integral,

Q: Use Simpson's rule (n = 4-this means that there are 2 rectangles for the trapezoid rule and 2…

A: To evaluate ∫-11x2-1 dx with n=4 using Simpsons Rule

Q: Evaluate the integral. HINT: [Use a shortcut.] e3x - 1 dx

A: Given integral: ∫-22e3x-1dx Substitute u=3x-1 and differentiate it w.r.t 'x'…

Q: -1Vx X. dx Vx cos

A:

Q: Solve using iterated integrals. (with graph) Find the smaller area cut from the circle x2 +y2 = 25…

A: The objective is to find the smaller area cut from the circle x2 +y2 = 25 and x=3.

Q: find the inderinite integral it 2. dx 7-3x3

A:

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: *to find:- integral value of the given function.

Q: Approximate the integral using the indicated rule. 36   0x2 dx; midpoint rule; n =

A: To evaluate:∫036x2 dxUsing midpoint rule using n=6

Q: Use Numerical integration by Simpson's Rule, evaluate the integral (with n=4) S"(-x + 3x? - 2.5) dx…

A:

Q: an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

A:

Q: 2tan(x)sec(2x)(7*ec(2x)) 1+ tan²(x) dx

A: Given integral is: I=∫-2tanxsec2x7sec2x1+tan2xdx By simplifying it: I=∫-7sec2xtan2xdx Now integrate…