Rewrite the following integral using substitution: s8 (1+3x)?dx

Q: 1 0 dx 1 − xlnx

A:

Q: -2(x¹-x²)dx ANSWER: 42-In16

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Q: 6 dx. 1+ 9x2 Calculate

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Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: 3. (In x) –dx dx k) xVln x evi xp-

A: We know that integration of xn   =  xn+1/n+1. And we know that derivatives of d(lnx)/dx =   1/x.…

Q: Determine the following: L (x - 2x2 + 1/3x) dx

A:

Q: Evaluate f(4 – 3x)³ dr

A: The integration of the (4-3x)3 and limit from 1 to 2.

Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: Stan-1x dx = xtan-x - In(x² + 1) +. Select one: True O False

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Q: S Vx8 – 6x6 + 9x4 dx is equal to -

A: The equation of integral is ∫x8-6x6+9x4dx.

Q: d dx 1 + 11* 3, x2

A: Given function is e5+1x23+11x

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A: To find the value of given integration  We use some basic results of integration and substitution

Q: dx 3. 19-X

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Q: [e³(5e* + 8) 6 dx.

A: see below the answer and calculation

Q: Evaluate (3x? – 4x + 5) dx from a= 0 to b=3. 0 6 O 12 O 18 O 24

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: S tan 2x dx

A: Consider the given integration. I=∫tan2x dx Use trigonometric identity. tan2x=sin2xcos2x So,…

Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: 2 dx 43.

A: Given integral is

Q: Evaluate.

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Q: Evaluate V25 -4x2" dx

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Q: dx. 6. Evaluate: 2x - 1 -1

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Q: Evaluate: 2 (+8xy) dy dx

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Q: 2 dx Evaluate J xvx4 + 25

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Q: xlnx-x dx. (Inx)3

A: We have to find the integral

Q: dx xVT -x? 1 x

A: We have to evaluate the integrals: ∫dxx21-x2 Let I=∫dxx21-x2 Taking x2 common from square root,…