show that ē ** Jo(bx) dx = %3D 8.

Q: Integrate [xe-5x "dx

A:

Q: メ 2 4. Sô 5 dx

A: We have to solve

Q: Integrate. Simc 1 In (6x) dx

A:

Q: Evaluate S Vx – x² dx -

A:

Q: 4. Which is negative, 8 dx or 8 dx?

A: We find the integrals first

Q: S Vtanx dx

A:

Q: Evaluate (In x)³ dx

A:

Q: Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

A:

Q: . Integrate: [x7*dx

A:

Q: S cosh(5x – 7) dx

A: The given integral is:∫cosh5x-7dx

Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: Integrate: S(x2 – 1)e² dx

A: We solve this question by using by-parts  ∫u.vdx = u∫vdx - ∫u'∫vdx dx

Q: S tanh 2x In (cosh 2x) dx

A: Given integral is, ∫tanh 2x lncosh 2xdx

Q: I'm a little confused, about how d/dx(ln4x) becomes 1/4x(4)

A:

Q: Evaluate o dx -dx . x²+1

A: Integration

Q: S In (ecos5×)dx

A: Given that: ∫ln(ecos5x)dx

Q: х In 3x dx

A: Given:

Q: Evaluate ſ csc* x dx

A: Formula: csc2x = 1+cot2x d/dx(Cotx) = -csc2xdx

Q: 5) S dx X5V9X2-1

A:

Q: integrate e^x + e^-X/ (e^X- e^-x)^2 dx

A:

Q: Integrate Sx? + 3x² + 6x) dx

A:

Q: Integrate S 3xe4 dx

A:

Q: 17. fe-Inx √√In x² dx 3

A:

Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: integrate: [e^(2x)]cbrt(e^x +2)  dx

A:

Q: | x2 In|4x| dx

A:

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: Find the Gamma and Beta Function Below: 5 -x4 : 2x'e dx

A:

Q: What is ∫ e3x dx?

A: Given:     Use method of substitution to solve.

Q: 4. S Vtanx sec6x dx

A:

Q: 11) ſx In(x² + 3) dx

A: Given: ∫xlnx2+3dx

Q: coshx 1. S –dx 2+3sinhx

A: "Since you have posted a question with  multiple subparts, we will solve first question for you. To…

Q: SVx In(x)dx

A:

Q: S 3x³y dx

A:

Q: 6) S dx

A: We apply substitution rule for solving the integration

Q: Shows : V9x² +25 (12) dx = 3 ln 3x + V9x² + 25 V9x² + 25 + C -

A:

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: Evaluate: S (2x - dx.

A: We Integrate each of the terms and apply the limits.

Q: dx

A:

Q: Find £3 dx

A:

Q: 3. S dx

A: We have to find the indefinite integral

Q: 6). S csch* 2x dx

A:

Q: htegrate S dx x²+25

A:

Q: Integrate Sxln x)dx

A:

Q: Sメtex dx

A:

Q: S csc° 3x dx

A: This question is related to indefinite integration, we will we will solve it using given…

Q: Evaluate S dx √x² +25

A:

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: . In(3x) dx

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

Q: 2 Find 11 csc (4x)dx 11 csc (4x)dx

A: