Evaluate the integral. You may need to use substitution, complete the square, or some other method first before you can use the given table of integrals. 2 dx help (formulas) Vx2 + 6x

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 2e"|…

A:

Q: 5 — 2х da J V12x – 4x2 12х —

A:

Q: 4. dr

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e*|…

A: Solution of above integral is written in step2.

Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: dx 2 X + 4

A: Topic = Integration

Q: Given ∫(−2x6 +3x5 −3x3 −6)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Evaluate the indefinite integral as follows.

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

A:

Q: Question: 2 dx a) Evaluate the integral by completing the square and using a substitution , -6x+10…

A: Given: (a)∫242dxx2-6x+10(b)∫1ex4lnx dx

Q: a. ²₁ (5x¹-2x³) dx

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 2e"|…

A: Solve the integration

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 7e*…

A: Evaluate , ∫9x+7exdx=?

Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

A:

Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 3e"|…

A: Integrating the given function

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Given query is to find the solution of the integral.

Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du…

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

A:

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

A:

Q: 9, dx 3+x4 1 3C

A:

Q: dx dx хV 16 — 9х2

A:

Q: Evaluate the integral a² (2³ – 3)"dx. 3)'dæ. + C Calculator > Next Question

A: Evaluate the integral using substitution method

Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: Please, expert, Homework: Evaluate the following integrals 5.S√x+1d dx 4. nt to solve all these…

A:

Q: II. Evaluate the following integrals 2x 2. S -dx 5+2x+x

A: Properties of integartion ∫f(g(x))g'(x)…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 5. +…

A:

Q: Completing the square Evaluate the following integrals.

A: The given integral is ∫dxx2+6x+18. Evaluate the above integral as follows.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"|…

A: Here we have to evaluate the given integral and check the answer by differentiating.

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"…

A:

Q: Evaluate the integral dx by making the substitution u = 5x2. After substituting we have: (in terms…

A:

Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration

Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e"|…

A:

Q: a) I = Sx² e-* dx 2 b) I = S Artan(3x) dx

A: As per our guidelines, we are supposed to solve only the first two problems/subdivisions. Please…

Q: Evaluate the integral: -36 24 (A) Which trig substitution is correct for this integral? Or - 4…

A:

Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

A:

Q: Evaluate the integral. 9. dx (x² – 1)3/2 Need Help? Read It Submit Answer

A: ∫26dx(x2-1)3/2

Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Evaluate the integral. ,15 dx = + C NOTE: Enter the exact answer.

A:

Q: 4. S 3xsen5xdx 5. S te2t dt

A:

Q: Calculate the integral and express your answer in simplest form. | 9x?(1 – 3æ')* dæ

A: On solving this integral we will get

Q: II. Evaluate the following integrals. 4. J 9x - 5 dx 18x + 13 9x² 6

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 9. +…

A:

Q: Evaluate the integral /2 I = dx. Hint: If you need to evaluate ſe² dx, don't! Try a slightly…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.