Evaluate the integral. +C

Q: Evaluate the integral ∫xsinhxdx.

A: We integrate by parts

Q: 1 xp x7 – x

A:

Q: Evaluate the integral. S (2 - VI) dr

A:

Q: Find the integral ∫ xdx / (x+2)3.

A: Given integral can be written as

Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: Evaluate the integral.

A:

Q: 2x ०5+.a

A: We use substitution method to solve this integration

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: Evaluate the integral.

A: Given Data The integral is ꭍx+4/x²+2x+5 dx.   Let,   Put the value in the given integral…

Q: Find the integral of Idx et ex+1

A: We have f(x) = ex-1ex+1 Now , we have to find  ∫ex-1ex+1dx  =  I(say)       Put   ex = t…

Q: Evaluate the integral dr. + x8 1+

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Q: Evaluate the integral. xp .8

A:

Q: Evaluate the integral:∫xe−2xdx

A:

Q: Evaluate the integral dr. (9+)3/2

A: Use trigonometric substitution to simplify the integral.

Q: 2+ 6x

A: Integration: ∫xdx2+6x+9x2We need to write it in partial fraction form.

Q: Find the integral ∫3√1−3xdx.

A:

Q: 12x? Evaluate the integral: - - x² xp-

A:

Q: Evaluate the integral.

A: Given integral  to evaluate ∫25dr1+2r This can be integrated using substitution Substitute 1+2r=x…

Q: Evaluate the integral or show that it is divergent.

A: Introduction -  Evaluating the integral of the given function - f(x) = ∫0112-3xdx f(x) = -∫0113x-2dx…

Q: Find the integral ∫tan5xdx.

A: Here given Now,

Q: Evaluate

A:

Q: Evaluate the integral ∫x√x+1dx.

A:

Q: Evaluate the integral. r3 55 ds

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Q: 3X + e

A: Given integral is,

Q: хах x2+x+1

A:

Q: Evaluate

A: We will solve the integration.

Q: Evaluate the integral or state that it diverges. 12 - 1

A:

Q: Evaluate the integral xdx/(x^4+3).

A: We will convert given integral of variable x into t by assuming x interms of t and then we will use…

Q: 2* ssch(2;

A:

Q: Evaluate the integrals

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Q: -3.x 4.

A:

Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: Find the integral. te4xdx

A: Given,∫4e4xdxNow integrating it∫4e4xdx = 4∫e4xdx = 4 e4x4 + C…

Q: Evaluate the integral. .2 - 3 x

A:

Q: Evaluate the integral: a/100 – a* ,3 -

A: We have to evaluate the integral ∫x3100-x2dx.We shall solve this by substitution method. Let…

Q: Evaluate the integral. S (2 - VE) da

A: The given integral is: I=∫x3-x3 dx

Q: 2dt tv4t4 – 1

A:

Q: C. 6x³ +11x² - 4x -3/5 18x² +22x-4dx

A:

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=∫xe2x(1+2x)2dx  -(i)

Q: Evaluate the integral ∫√(3 - 2s) ds

A:

Q: 8xdx 1 — 4еx?

A:

Q: Evaluate the integral.

A: Here given integration can be written as…

Q: Evaluate the integral. dr V 25 + 2

A:

Q: Evaluate the integrals ∫csc4 θ dθ

A: We have to evaluate the integrals: ∫cosec4 θ dθ Rewriting the given integral, ∫cosec4 θ dθ=∫cosec2 θ…

Q: Evaluate the following integrals 0.

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Q: Evaluate the integral. 13 dr 16 + r2

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Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu…

Q: (x²–1) 2.

A:

Q: Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

A: