Which integral could be evaluated using the substitution u = x ?

Q: Use the substitution x = 4 tan(0) to evaluate the indefinite integral 17dx x2 Vx2 + 16 + C

A:

Q: Evaluate the integral, if it exists.  ∫Csc2 (3t) dt

A: ∫ cosec23tdtLet 3t=θ⇒ddt3t=dθdt3=dθdt⇒dt=dθ3-1

Q: Evaluate the integral of [dx/((x^2)sqrt(9-x^2))]

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Q: Use an appropriate substitution to evaluate the following definite integral:

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Q: Evaluate the integral. 6. 6 cosh (x) dx X, 4

A: Let x=u Differentiating both sides with respect to 'x', we get ddxx=ddxu12x=dudxdxx=2du

Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: evaluate the integral.

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

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Q: Use a table of integrals to evaluate the definite integral.

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Q: Evaluate the integral. 5 cosh(t) dt

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Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: dx

A: Consider the integral

Q: Sec? ( 7x-8) dx =?

A:

Q: Evaluate the integral, if it exists.    ∫01 (1 -x9) dx

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫√(2x + 1…

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Q: Use the substitution æ = 6 tan(0) to evaluate the indefinite integral 23dx x2 Va2 + 36

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Q: dt /4+t²

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Q: Find the following indefinite integral. dt

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Q: Use the definition of the definite integral to evaluate: + 6х +1)dx

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Q: Evaluate the integral in terms of the constant: dx

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Q: Use the substitution æ = 2 tan(0) to evaluate the indefinite integral 4dx V + 4

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: We need to integrate∫ex-8x-8dx

Q: -- 11x + 2

A: ∫dx4x2-11x+2We need to find the integration of the above function.

Q: Decide whether the integral is improper. 1,01 In(x5) dx

A: We are asked to find whether integral is proper or improper

Q: Use any method to evaluate the integral. 8 dx (16x? + 1)?

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Q: sin y – ex y' cosy

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Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: In 2 sinh?xdx - In 2

A: Given problem:-

Q: Use the Table of Integrals to evaluate the integral.    ∫et sin (α t- 3) dt

A: To evaluate I=∫et sinαt-3dt

Q: XV3x2 – 2 dx 1

A:

Q: Using only the definition of RS-integral, evaluate 2 d[x}.

A:

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

A: The given integral is ∫1∞dx2x+13. Evaluate as follows.

Q: Evaluate the integral, if it exists.    ∫ (8 x3  +3x2) dx

A: Given- ∫8x3+3x2dx To evaluate- The above integral. Formula used- The power rule, ∫xndx=xn+1n+1+C,…

Q: To evaluate x²V1-x²dx using trigonometric substitution, what is the new integral in terms of e ?

A: Integration is the process of finding the anti-derivative function of the given function. The…

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

A: ∫dx4x2+4x+5=∫dx2x+12+4=∫dx2x+12+22=12tan-12x+122+C    ∵∫dxx2+a2=1atan-1xa+C & x-coefficient must…

Q: dt 5+ t2

A: Given: ∫02t25-t2dt

Q: tan (5x) sec2(5x) dx

A:

Q: dx 6. xVa² - x² X

A: Consider x=asinu. Differentiate the equation x=asinu and simplify to calculate the value of dx.…

Q: evaluate the integral.

A:

Q: Find the indefinite integral. (Use C for the constant of integra 2 xp xV4 - (In x)2

A: Solution

Q: Evaluate the integral, if it exists.

A: Given- ∫-11sinx1+x2dx To find- The value of the above integral. Concept Used- The above integral can…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We have to evaluate the integral given below:-∫-2-1(x-3)dx -(i) using fundamental theorem of…

Q: sec (2x + 9) tan (2x + 9) dx

A: Given :∫sec(2x+9)tan(2x+9)dx

Q: Evaluate the definite integral. dx x(1+ In æ)

A: Explained below

Q: Evaluate the indefinite integral, show all work. 2x+4 J 22 dx

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Q: Evaluate the integral J*(x*-1)°dx by using substitution.

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Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Use integration by parts to evaluate the definite integral. 4t2 In(t)dt

A: We have to evaluate ∫1e4t2 ln(t) dt  by using integration by parts.