1 I. 1+ Vx xp:

Q: Evaluate the integral.

A:

Q: r? + I dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the iterated integral. T/2 12 (10 cos(8) r dr de

A:

Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: Evaluate the improper integral: 9. dx a) Odiverges b) О 18 c) 09 d) 03 8.

A: Given integral :

Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

Q: Evaluate following integral: 2dr (7²+1)(x+1)²

A: The given integral is: ∫2dx(x2+1)(x+1)2 First, we need to decompose the expression 2(x2+1)(x+1)2 by…

Q: Evaluate the integral 7ª S* (y cos x + 4) dydæ.

A: The detailed solution is given below Thank you

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

A:

Q: (c.) Evaluate the integral [xV2x +1 dx ?

A:

Q: The integral 5x – y dA = 59 if R R={(x,y): - 3<x<- 1, 5<y<6}

A:

Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

A:

Q: Choose the most appropriate answer: +0o 18 dx Evaluate the integral : J, 1 o -9 10 O 18

A: To find: ∫1∞18x3dx

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

A:

Q: Evaluate the improper integral: dx b) Odiverges c) 14 d) -4 e) 8 a)

A:

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx 5 dx u = du = dx

A: we have complete the following table

Q: Evaluate the integral 45 1)" da, by making the appropriate substitution: u = 45 dx =

A:

Q: Lm e7x dx 00

A: This question is based on definite integral.

Q: evaluate the integral.

A: Let the given integral as

Q: (STス)ス3da

A:

Q: Match each integral and its substituted form with the proper substitution. |(15x -10)3x²-4x+11 dx…

A:

Q: Evaluate the integral. .2, 5) )2 dx t+

A:

Q: Consider the following integral: 1 1 I = 2ey? dyd: 0 x

A: Given: ∫01∫x12ey2 dy dx

Q: Evaluate the integral *(2* – 3)*da a* – 3)' by making the substitution u = x* – 3. | +C

A:

Q: Evaluate the integral. 'Tt/2 7 cot (x) dx T/4

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Q: Evaluate the triple integral In(1+ yr? + y? + 22)dzdydr.

A:

Q: Evaluate the iterated integral. T/2 r6 cos(e) r dr de

A: Evaluate the given integral as follows. ∫0π2∫06 cos θr dr dθ=∫0π2r2206 cos θ dθ=∫0π218 cos2θ…

Q: Write the integral in terms of u and du. Then evaluate.

A:

Q: Use the indicated substitution to evaluate the integral. 1 dx, x = 15 sec(0) xVx² – 225

A:

Q: Evaluate the integral. 3x/4 csc e cot e de a/4

A: Given that integration of (π/4 to 3π/4) csc(theta)cot(theta). We know that csc(theta) =…

Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx

Q: 2dt t/4t4 – 1

A: Evaluate: ∫2dtt4t4-1

Q: Determine the integral solutions  fro which x and y are positive 2x + 5y = 17

A:

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Evaluate the iterated integral. T/2 14 cos(@) r dr de

A:

Q: Use the substitution formula to evaluate the integral. , π/2 20) cot x csco x dx T/6

A: on solving this we get

Q: Evaluate the integral dx 11+ e* using the substitution u = 11 + e". e dx 11 + ea +C

A:

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: O Evaluate the integrals Jscx+y+2?s da dy dx-

A: according to the guidelines we should have been able to do only one question at a time #1-a

Q: Consider the triple integral I = L,S dzdydx. The value of I is:

A: To evaluate a definite integral we use the fundamental theorem of calculus. Fundamental theorem of…

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx xp | (tan(x))"…

A: We know that the derivative of tan x is = sec2(x) = (sec(x))2

Q: Evaluate the integrals .SiPi+7 j+(t+1)k] 4 S (sinti+(1+cost)j] -a4

A: In the given question, we have to find the integral of  ∫01[t3i+7j+(t+1)k] ∫-π4π4[sinti+(1+cost)j]

Q: et dx using the substitution u = Evaluate the integral 17 + e*. 17+ ex

A: To evaluate the integral: ∫ex17+exdx. Solution: Le substitute u=17+ex. Differentiating both sides,…

Q: b) Calculate (i) the following integrals x² (3x³ + 2)²dx

A:

Q: Evaluate the given integral (2z+1) dz where the contour C is given in the figure,

A: In this question, we use the path for the integral  ∫C(2z+1)dz where C is the path given in the…

Q: Evaluate the integrals

A: We have to evaluate the definite integral: ∫-ππ1-cos2 t32dt We know the trigonometric identity, cos2…

Q: Use the value of the first integral I to evaluate the two given integrals.

A: ∫01x3-2x dx=-34