7. Find the complete integral of Pi P2 P3 + p4 x1 x2 x3 Xị = 0. %3|

Q: e dx -5

A: Given : ∫-55edx

Q: Evaluate the integrals ∫(ln x)-3/x dx

A:

Q: 5. Find the definite integral of: a) fr (2cosx – 3sinx)dx

A:

Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: Find the indefinite integral ∫ e5x−3 dx

A:

Q: Find the indefinite integral ∫ e2x/ (4 + e4x)   dx

A:

Q: Evaluate the integrals ∫dx/4 + x2

A: Consider the following formula: ∫1x2+a2dx=1atan-1xa

Q: Find the indefinite integral ∫ e−x4(−4x3) dx

A:

Q: 25 dx Evaluate the integral 10 x(In x) 5

A: We have to evaluate the integral: ∫525dxxlnx10 This will be solved by substitution method since…

Q: Evaluate the integral. 4 x - 3 dx X 1

A: Given:

Q: [(b) find the integral in the interval [1,4] S(3/2 sqrt(x)-4/x^2) dx ].

A: To evaluate the given integral on [1,4]

Q: What is the integral of e^(3.4*x) from x=1 to x=6?

A: Solve the definite integration and put the limit.

Q: 12. Determine the following integrals. Do not implify. )dz (b)

A:

Q: (In x) dx x+1 c) d)

A: Definite integration

Q: Evaluate the integrals in ∫8 e(x+1) dx

A: ∫8ex+1 dx Put  x+1=t⇒1+0=dtdx⇒dx=dt

Q: Evaluate the integrals ∫ ln x/x4 dx

A: The given integral is, I=∫lnxx4dx Substitute, lnx=t ⇒1xdx=dtx=etx3=e3t Therefore, the integral…

Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

A:

Q: 12. Find the integral of S (x². √(x² + ² =) dx

A:

Q: (2) Find the integrals: x² 2 • S √36x² dx

A: Given ∫x2 36-x2dx

Q: Evaluate the integrals ∫dx/2 + (x - 1)2

A: Evaluate: ∫dx2+x-12

Q: Find the indefinite integral. e2x dx 4+e4x

A:

Q: Evaluate the integrals.∫(x/(x-2))dx

A: Solution -  Given Integral is -  y = ∫xx-2dxWe can write it as - y = ∫x-2+2(x-2)dxy =…

Q: Find the indefinite integral

A: Explanation: Given that,  ∫e2x4+e4xdx   Substitute  e2x=ue2x(2)dx=due2xdx=du2 Now 12∫14+u2duNow put…

Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

A:

Q: Evaluate the integrals ∫x-4/3 dx

A: Given information: The integral is ∫x-43dx. Calculation: Use the power rule of integration…

Q: Evaluate the integrals ∫ ln x/x3 dx

A: Evaluate the integrals  ∫lnxx3dx

Q: S x³et*dx

A: A detailed solution is given below

Q: 2. Find the indefinite integral (Scos(4x) + √x dx

A:

Q: Find the indefinite integral

A:

Q: Find the indefinite integral. ∫(x4 + 8)/ x3 dx

A:

Q: Evaluate the integrals in ∫e-1/x2/x3 dx

A: ∫e-1x2x3 dx Put, -1x2=t⇒2x3=dtdx⇒1x3 dx=dt2

Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

Q: Find the integral below: (x² + 1) dx (2х3 + 6х)

A:

Q: Evaluate the integrals.∫x2 cos x3 dx

A: We have  I=∫x2cosx3 dx                          ⋯⋯(1)   Let  x3=t3x2du=dtx2du=dt3 put in equation…

Q: 17. Find the integral of ((x^4)/((x^2)+7))dx

A: Given: Let I=∫x4x2+7 dx To Find: To evaluate the given integration

Q: 4 8 + x2 dx /1

A:

Q: Find the value of the integral. n dx. 2

A: Given,          ∫-π2π2π dx

Q: Find the indefinite integral ∫(3√x+e3)dx.

A:

Q: Evaluate the integral. 5х — 7 dx 1+x2

A: Given: ∫5x-71+x2dx To evaluate the integral.

Q: Evaluate the integral. "4 2 + x2 dx

A: Solution:

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

A:

Q: Find the indefinite integrals. S- 2x -) dx J(금 a)

A:

Q: Evaluate the integral of (e^x)^(1/2)

A: Given the integrand (e^x)^(1/2) Evaluate the given integral using u-substitution method. Let

Q: Evaluate the integrals ∫1/x√ln x dx

A: Given ∫1/x√ln x dx . We need to evaluate the integral.

Q: Find the indefinite integral. ∫(x4 + 3) dx

A:

Q: Evaluate the integral. 9. e dx -6

A:

Q: Find the indefinite integral. Solution in handwritten b. f(x+1)√2- xdx

A:

Q: Evaluate the integral 2∫0(x3−x2)dx.

A:

Q: Evaluate the integrals in ∫e1/x/x2 dx

A: Our Aim is to evaluate the integral given below:-I=∫e1/xx2dx -(i)

Q: how do I find the integral of e^-xsec^2(e^-x)dx

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.