Evaluate (x? + 1) In x dx.

Q: Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

A:

Q: Evaluate f -dx is equal to x In 3x

A:

Q: S. dx Evaluate: x²+ 8x + 20

A:

Q: Use substitution to evaluate dx.

A:

Q: Evaluate /" In Vx dx.

A: Given integral is

Q: In (x²) dx e²

A:

Q: Sx³ In x dx

A: ∫ x³ ln x dx Let us consider it as ∫ udv  Here u = ln x , dv = x³dx du = (1/x) dx  ∫ dv = ∫ x³dx  v…

Q: (1+x3)5 dx

A:

Q: Q2- Evaluate 1- L,(x + 2)5e-(*+2)dx.

A:

Q: d Evaluate (3*). dx

A: Given  The derivative is ddx3x .

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: -23 dx. . Evaluate:

A: According to Bartleby's guidelines we are allowed to solve only one perticular question at a time.…

Q: Evaluate fcos-¹(x) dx

A:

Q: (a) S x2 (In a) dx.

A: Consider  I=∫x2ln x2dx

Q: Evaluate. (In x)?dx

A: Given: ∫(lnx)2dx

Q: Evaluate dx -[In(x³/6x +5)].

A: Given : ddxlnx36x+5

Q: Evaluate dx 2 1-x

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

Q: Evaluate d/dx { In√(x+1)}

A:

Q: 1/2 dx 2 -1/21-x

A: We will solve the problem

Q: dx. 4-x² Evaluate IN

A:

Q: -1 For f dx

A:

Q: d° Find -(x* In x). dx

A: To obtain d9dx9x8lnx. Compute the derivatives.…

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

A:

Q: Evaluate: e dx ; xp² 1-e-2x

A:

Q: dx x (In² x – 6 In x + 10) -

A: The Answer is:      Result = arctan ( ln x - 3 ) + C

Q: b) Evaluate (x² + 1) In x dx .

A: We have to evaluate the given integration.

Q: S tan³x. Vsec x dx

A:

Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below

Q: In(1 – x) dx

A: We have to solve this integration

Q: 3. Evaluate | x(2x? – 3)° dx 1

A: Definite integral: - The ultimate value of an integral is definite because definite integrals have a…

Q: 1 dx x²V9-x² Evaluate

A:

Q: /2 dx by completingquam, show thad 353 スーx+

A: The integral function is ∫012dxx2-x+1=π33.

Q: What are all values ofk for which x'dx = 0?

A:

Q: Evaluate e* .2 dx.

A:

Q: dx a) S 19-x²

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: Evaluate: * dx re+1 5.) X-

A: Find your answer below

Q: 2x-1 ate dx by using substitution m

A:

Q: Q1 Evaluate dx 1-х4

A:

Q: x2 x³ + 8 to dx. Evaluate

A: Given: ∫1∞x2x3+8dx

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

A:

Q: In e* dx Evaluate 25+4x4

A:

Q: ∞ So dx 4+x²

A: The objective is to solve the given integral. The required formula for integration is…

Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: (a) dx ((In(x – 1))")

A:

Q: . Evaluate [(x+2")*de 2*)² dx 2.

A: Since, I=∫x+2x2dx Then,  I=∫x2+2x2+2×2x×xdx=∫x2+22x+2x2xdx=∫x2+4x+2x2xdx

Q: Evaluate : J dx 3

A:

Q: Evaluate xJ,(x)dx -3

A: Given: ∫12x-3J4xdx

Q: Evaluate a dx a2 +k? -

A: From the given problem: I=∫x-ax2+k2dx So, we can also write as:…