. Evaluate the following integral or state that it diverges: Ln xe3x dx

Q: Evaluate the following integrals Sxcos(3x) dx 2. COS

A: topic - definite integral

Q: Evaluate the following integral: 1 dx, (x² + 6x)/2 x > 0.

A: Indefinite Integration

Q: evaluate the given double integral. 7. (x + 2)dxdy

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

Q: 5. Find the following integral. If the integral diverges, write "diverges." S, 2xe3x dx

A:

Q: evaluate the given integral.

A: Then we use substitution

Q: 1 dx (x-2)(x+2)

A: We have to find integration

Q: iv. L, x* (e* – e*) dx

A: Given:

Q: 3. 1+x dx

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: 4. Se* (e** +) dx

A:

Q: So ty 1-x² dx

A:

Q: Evaluate the following integral x csc² (x) dx I CSC

A:

Q: dx 50. (х — 1)43

A:

Q: Evaluate the following Integrals dx しな25)メ

A:

Q: x+5 dx |

A: ∫x +5xdx

Q: 1. 3x dx

A:

Q: evaluate the given integral. L (1 + x)/x dx

A: we have to evaluate the given integral  ∫1+xxdx

Q: Calculate the following integral: e 3x3 + 1 dw 1

A:

Q: Evaluate the integral. '1 x9/10 dx

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: x dx x*+16

A:

Q: Evaluate the following integrals.∫(y2/(y+1)4)dy

A:

Q: Evaluate the integral. La – 4x)dx

A: We have to evaluate the value of It can be written as

Q: 53. In x dx

A: Solve the following integral

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Evaluate the following integral. x21 dx

A:

Q: Find the following indefinite integral. S(7 + e) dx

A: ∫(7x+e)dx Formula ∫axdx=axln a+C∫adx=ax +C

Q: Find the following indefinite integral. 12 xp. 12 dx = xp.

A:

Q: 1 dx 1+Vx

A: Explanation of the answer is as follows

Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: evaluate the following integral x/ x-3 dx

A:

Q: dx

A:

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: n4 dx b. 2 х-3

A:

Q: Evaluate the following integrals.

A: To solve the given integral

Q: Evaluate the following integral. 1 dx /x + 4

A: By using integration formula, we calculate the given integral.

Q: Evaluate the following integral. X'e dx

A:

Q: col B// Evaluate the following integral : S dx

A:

Q: Consider the integral (ln(x))6 dx:

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: e Tx dx x2 e 3. S

A: We are asked to evaluate the integral.

Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: Evaluate the following improper integral or state that it diverges. 3 cos () dx

A: ∫2∞3cosπxx2dx=limk→∞∫2k3cosπxx2dx   Let, u=πxdu=-πx2dxdx=-x2πdu

Q: |x2(x? – x)-1 dx

A:

Q: Evaluate the following integral. 00 dx ,2 x + 6 1

A: Now consider,

Q: 7. Evaluate the following integral or state that it diverges: Lo xe* dx

A:

Q: X- 1 dx d.

A:

Q: Evaluate the integral. 5 x2 e dx +C

A:

Q: Evaluate the following integral: dx x+2

A: To evaluate ∫-222-xx+23dx first we will solve the integration without limits, i.e. we will evaluate…

Q: Evaluate the following integral 1 dx (x – 5)²(x + 3) a

A: We have to evaluate the given integral    The given integral is   ∫1(x-5)2(x+3)dx