.2 x² arctan(3x) dx %3D

Q: dx X*(4x+9)E

A: Given the integral ∫dxx24x4+932 We will use the the method of substitution to evaluate the integral.

Q: -8 dx

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Q: 11. dx (1+ ×)区

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Q: Find       d9 /dx 9   (x 8 ln  x )

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Q: 10 x2+3 dx 4

A: Explanation of the answer is as follows

Q: (メ+4) dx x2 + 2x+5

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: (4x* e* dx

A: given integral I=∫4x4 ex4dx   ...i as we know series representation of ex4=∑n=0∞x4nn! substitute the…

Q: d) +4 dx

A: The answer is

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

A:

Q: x* + 10x dx

A: Evaluate the given integral as follows. Let u = x + 5 and du = dx and simplify as follows.

Q: Sese xcor'x d csc°xc xcotx dx

A: Given: I=∫cosec5xcot5xdx For evaluating given integral, first we simplify given expression So,…

Q: 1. dx x2 + 6x + 10

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Q: ((-2x +5)dx

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Q: L(2x – e*)dx

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Q: 6) L (x- 3)(x + 2)? dx

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Q: 4x dx

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Q: 10) (2 ydx+dy)e" =0

A: Given DE is 2ydx+dye2x=0 solve it by exact differential equation

Q: d/dx(tan(esinx))

A: Given,

Q: 2x+ 4ード dそdxy hーカハー

A: We need to integrate the given iterated tripple integral in order dzdxdy

Q: 28+メ+x dx 4x+16

A: Step:-1 Given that ∫1∞ 2x5 +x2 +x4x6 +16 dx Take  L = ∫1∞ 2x5 +x2 +x4x6 +16 dx L=∫1∞ 2x5 4 x6 +4 dx…

Q: 1. | e8x dx

A: Integration by substitution is a way to integrate the expression when the expression's derivative…

Q: - 4× dx хе

A:

Q: 100 dx 4.

A: The given integral is I=∫0100dx To evaluate the integral

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

Q: 1 12 dx

A:

Q: 9 S10²/x dx

A:

Q: d/dx (x^6 + ln(x) + 21)

A: given ddxx6+ln (x) +21

Q: -1 | In(-x)dx -7

A:

Q: -1| dx

A: We have to follow following steps: 1)  we have to open the modules of the function. Everything which…

Q: 1 dx (b)

A: Given interval :

Q: 5x. e dx

A:

Q: | (7x + 4) e dx

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Q: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

Q: 3. S dx xVx6 – 1

A: Here we have to solve the given integration.     ∫dx/{x√(x6-1)}

Q: 1 46* dx

A:

Q: 1. dly dx 64XY

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: - 5)dx =

A:

Q: S (x – 3x + 7x + 9)dx %3D

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Q: -5x 5 dx

A:

Q: 5x e°* dx

A: Given integration ∫e5x dx Use the integration formula, ∫eax dx=eaxa+C ∫e5x dx=e5x5+C Where C is a…

Q: x4 dx =

A:

Q: 51. $ dx ах

A: Explanation of the answer is as follows

Q: x+ 3 dx Vx* + 6x

A: Detailed explanation mentioned below

Q: S(? + 1) (2x° – 3) dx .

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Q: 1. x 10 – 2x6 dx

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Q: x dx clax

A: It is given that, Therefore just take the x common from the denominator and cancel out with the…

Q: dx 3). S. x2+4x+5

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Q: 1 dx X +x13

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Q: (x + 16)*24x dx =

A: