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

Q: 1 0 dx 1 − xlnx

A:

Q: Evaluate the ff. integrals using substitution: dx 1. S (5-2x)2

A: 1. Using substitution u=5-2x

Q: 14.1 dx V16-x dx 15. . Vx -1

A:

Q: S. FInd (4x3 + 3x2 – 2x + 1)dx ·

A: The given integral is as follows:  ∫014x3+3x2-2x+1dx We shall evaluate the value of the integral…

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

A:

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: Evaluate L L ³ xy² 1 3xy² dy dx.

A: SOLUTION-

Q: dx 6. 4+ 5сosx

A:

Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

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: 4. f In (2x + 1) dx =

A:

Q: 2 dx 43.

A: Given integral is

Q: Evaluate.

A:

Q: calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

A: Solution- We know n=-2

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

A:

Q: dx Ve ve

A: Integration

Q: 1 dx 3. is equal to

A: The given integral:∫1x23dxWe need to evaluate the integral.

Q: to

A: