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A: Explanation of the answer is as follows
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A: We will make use of only the basic techniques of integral calculus to solve this question.
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Q: make the given substitutions to evaluate the indefiniteintegrals. ∫4x3/(x4 + 1)2 dx, u = x4 + 1
A: Now put
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A: We can find the value of a as below.
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A: Note Since you have asked multiple question As per our policy, we will solve the first question for…
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A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…
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Q: EX. Use Euler's method (modified) to approx; mad e y' = x+y for yC1) = 1; h=o.1,15X<2 心ふ 14 withe…
A: We have to use modified Euler method to find solution.
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A: To evaluate the given integral
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A: Option b is correct. See the attachment
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Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT
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Q: 12. Evaluate the integral: dx А. 12 +C C. 12e** + C В. 12 +C D. 12 +C
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Q: du Formula Answer u dx 6. x In x+x Jx(mx+1) in Inx+i| +0 In x +1 dx Inx + +C
A: We can provide complete solution as below.
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A: Given : ∫dx(4 + x2)3 = ∫h(θ) dθ To find ∫0π2 h(θ) dθ.
Q: make the given substitutions to evaluate the indefiniteintegrals. ∫ 2(2x + 4)5 dx, u = 2x + 4
A: To evaluate integral: ∫22x+42dx. Let substitute u=2x+4 Differentiating with respect to x,…
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Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"
A: Since you have submitted two questions, we'll answer the first question. For the second question…
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Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*
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Q: dy dr 4 - y (b) _ In(교2 + y? + 1) dr dy (a)
A: Evaluation of the double integral
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