(c) Calculate the following integral: f(x) dx

Q: Find the integral [((a+1)x+(b+1))((c+1)x+(a+2))*** dx .

A:

Q: Find the derative of the integral from x to 2. y=(t+3)^2 dt

A: let us assume y=∫x2(t+3)2dt

Q: y'dy Evaluate the correct integral of Vy²+4

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dt 1- t10

A:

Q: Evaluate the integral. (Use C for the constant of integration.) t dt + 10

A:

Q: Find the exact value of the following improper integral: ex L x2 dx

A:

Q: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

A:

Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

A:

Q: 5. Suppose that f(t) is the rate of snowfall t hours after midnight on December 21, measured in r12…

A:

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

A:

Q: 4 3 b. J 20(2x + 1)°dx 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

A:

Q: Approximate the value of the given integral by use of the trapezoidal rule, using the given value of…

A:

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x'…

A: We calculate the given integral by substitution.

Q: S 2x. e*dx а. 4 3 b. J 20(2x + 1) dx

A: Part(a): Let the given integration is, I=∫2x.exdx

Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

A:

Q: Q2) Evaluate the integral x dx a -0.

A:

Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

Q: 11 dx x2 +4 Evaluate the improper integral:

A:

Q: dx a proper or improper integral? Why? (x-3)? .3 Is So 1

A:

Q: Evaluate the integral with the order reversed. dx dy -2 0

A:

Q: S. e* dx

A: Given: The integral is  ∫0+∞e-xdx   To determine: The value of the integral ∫0+∞e-xdx

Q: Use substitution to find the indefinite integral

A: Given ∫1xlnxdx

Q: too S. dx b +, X

A: ∫0∞ dxx2+9Formula:∫dxa2+x2=1a tan-1xa +C

Q: Evaluat the integral, dx dy y's зу

A: We need to evaluate the double integral- ∫01∫3y3ex2dxdy Here we will use the following integration…

Q: 1. S √x dx VX +1

A:

Q: valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

A:

Q: )Reverse the order of integration and evaluate the integral dy dx y2 +1

A: Explanation of the solution is given below...

Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: o f dx/ (x² + 4x + 5) find integral

A:

Q: r+∞ e dx - dx x ln x

A:

Q: Find the indifinite integral. 2x +1) ex²+x dx

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Q: Evaluate the integral. /x + c dx

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Q: Evaluate the integral. integral from 0 to 1 (x2 + 7)e−x dx

A:

Q: How do you find the indefinite integral of r(t) = ⟨ƒ(t), g(t), h(t)⟩?

A: Indefinite integral: In component form, the indefinite integral is given by ∫r(t)dt =…

Q: Find the integral 1 dx J x² + x + 4 +C

A: ∫1x2+x+4dx Consider, x2+x+4=x2+x+14+154=x2+2x12+122+154=x+122+154     ∵a+b2=a2+2ab+b2=x+122+1522

Q: Q2. Evaluate the iterated integral by changing the order to dx dy. eu dy dx

A: For reversing the integration order, we will replace the limit of x and y with interchangeably. Then…

Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: Q3: Find the integral for the following functions: - dx 1)) T2-2x+1 Vx2-2x+1

A: we want to find the integral for given function

Q: Evaluate the integral , xy dx dy 0.

A: Here we will integrate function w.r.t. x first then w.r.t. y

Q: 。vマ dx ナ○

A: To evaluate the integral: ∫1∞e-xxdx Solution: Let substitute t=x. dtdx=ddxxdtdx=12x2dt=1xdx When x→∞…

Q: dy y(y²+1)

A:

Q: [2'e'dx X

A: Given

Q: Find the integral: (Integral sign) (e^x dx)/(e^x + e)

A:

Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

A:

Q: b) r.e dr

A: