Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes | (u3/2 – 15u2) du. What are the values of a and b?

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

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A: To find:- ∫0∞dxx4+x2+1dx

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: dx 4x2- 4x+5

A:

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A:

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A:

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

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A:

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A:

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Q: 2 dx Evaluate J xvx4 + 25

A:

Q: Evaluate: a) J 5x8+4x7+x6+7x²+3x-15 dx (x²-4)(5-6x)(x2+2x)

A: We use method of partial fraction to solve this integral. If degree in the numerator is more than…

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A: Expand the Integral and then solving each part

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A: We use standard formula to solve this problem.

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A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

Q: Evaluate: dx (A 2/ e* -+C 3x B 2Vx - (x- 1)e*-2+C O 2V-+C et e D

A:

Q: I. Evaluate x² +6 12 x³ + 3x dx.

A: Given, Evaluate ∫x2+6x3+3xdx

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A: Evaluate