Express the integral in terms of the variable u, but do not evaluate it. el0 In x dx; = In x U = e5 e10 In x - dx du

Q: t² - Vi + Vi csc(t) dt

A:

Q: Evaluate the.integral (x+y+2 dz olyde

A: Evaluate the given integral as follows. ∫01∫01∫01x2+y2+z2 dz dy dx=∫01∫01∫01x2+y2+z2 dz dy…

Q: iven f(x)=-x²+6x²-9x+4 Find the locations of all local maxima and minima using the second derivative…

A: Given f(x)=-x^3+6x^2-9x+4

Q: 14.1 dx V16-x dx 15. . Vx -1

A:

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: Evaluate

A:

Q: dx 4. xv9+4x2

A: Method:- I  use Trigonometry substitution method to solve the given integral

Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: Complete the trig substitution to achieve an integral involving trig functions of 0. Stop here; do…

A: Given: The integral is  ∫x2-4dx

Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: -x Jez е sin x dx

A:

Q: 4. f In (2x + 1) dx =

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

A:

Q: S(2 + vx)³ Vxdx

A: See the details solution in below

Q: Evaluate. 4 ' - 6Vx +x 3 dx - 6x +x 3 dx =

A: We have to evaluate the given integral. Please recall the famous rule of integration: Integral of…

Q: 1 I. 1+ Vx xp:

A:

Q: 1 dx 3. is equal to

A: The given integral:∫1x23dxWe need to evaluate the integral.

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

A: