5 .Use the definition of the integral to evaluate | (2x - 3)dx

Q: Evaluate the integral of dx / (x + 2) from -6 to -10.

A: The complex form of integration can be converted to simple integration form by  using the…

Q: Evaluate the integral. x³ + 4 - dx (x + 4) (x + 3)

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Q: Find the indefinite integral.

A: Take .

Q: Evaluate the integrals ∫tanh 2x dx

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Q: Evaluate the integral x dx. -4 3 |x| dx =] -4

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Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: Evaluate the integral ∫ dx x4−1.

A: C=integrating constant

Q: Evaluate the integrals

A:

Q: Evaluate the integrals.

A: To find the value of given definite integral.

Q: Evaluate the integrals in ∫2ln x/x dx

A: Now put,

Q: 4 Write an integral that is equivalent to 1 af dx. -

A: Given,          ∫-6-4xf14x2-2dx

Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that

A:

Q: Use symmetry to evaluate the following integral. x' dx -3

A: To find: ∫-33x7dx

Q: evaluate the integral (In (X )Ć dx X3

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Q: Evaluate the integral of dx / (x + 2) from -6 to -10

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Q: S ex √1-e²x dx

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Q: Evaluate the improper integral, 5 if exists : dx (5 – x)3

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Q: dx (1 – x3

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Q: Evaluate the integrals ∫tanh x/7 dx

A: Evaluate ∫tanhx7dx

Q: Use the Table of Integrals to evaluate the integral.

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dx/x(x + 1)2

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Q: 2ea dx (ет — 1)2 1

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Q: Evaluate the integrals. ∫x(x + 3)10 dx

A: According to the question, we have to integrate the given integral ∫xx+310 dx. The given integral is…

Q: Evaluate the integral ∫dx / x2−x+2.

A:

Q: 3. Evaluate the integrals √tanh x sech² xdx

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Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

A: Given that, a) ∫sec32x tan 2x dx b) ∫x2x+1dx For evaluating those indefinite integrals,  we need to…

Q: Evaluate the integral x Cx²-3) dx

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Q: Evaluate the integrals ∫ x dx/9 - x2

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Q: Evaluate the integrals ∫ 1/x(x4 + 1) dx

A: Given: I=∫dxxx4+1 for evaluating given integral we take out x4 from bracket so,…

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: Evaluate the integral * In 2 tanh 2x dx

A: We have to find Integral of given function.

Q: Evaluate the integral

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Q: 13. x-x dx x² +x?

A: We need to evaluate the integral ∫13x-x-3x2+x-2dx ................ (1)

Q: cln 2 tanh 2x dx

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Q: What is the integral of (4-x^2)/(x(x^2-4)) dx?

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Q: x(4+ x²)!/3 dx

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Q: Evaluate the integral. (In(x))² x3 dx

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Q: Evaluate the integral of (x^2)/(x^2 + a^2)^3/2 dx

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Q: Evaluate the improper integral. x In6x dx 0.

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Q: + 3x dz. x2 + 1

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Q: Evaluate the integral. In 2 tanh x dx

A: ∫02tanhx dx=∫02sinhxcoshxdxUsing formula ∫f'(x)f(x)dx = ln|f(x)| +cHere , f(x)=sinhx , f'(x)= coshx

Q: S 3xe*dx

A: Given problem :- ∫ 3xex/2 dx

Q: dx (5 x)3

A: This question is related to definite integral, we will use the Integration by substitution method to…

Q: In 2 tanh 2x dx

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Q: 1/3 0 4x dx √25-x

A: Given Problem:- ∫0134x25-x4dx

Q: x6 dx V x14 - 3

A: ∫x6  dxx14-3 On simplification, we get ∫x6  dxx14-3=∫x6  dxx72-32 Now put, x7=t⇒7x6=dtdx⇒x6  dx=dt7…

Q: evaluate the improper integral from 1 to infinity: 2/[x(x+2)] dx

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Q: Evaluate the integral of ex*+1 2x dx.

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Q: dx x (In x)5

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Q: Use any method to evaluate the integral. x'dx 2 X + 16

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