3 For questions 8 and 3. consider the line integral Sx²ydx+xydy 1439) Evaluate the integral, if C rs the circulor path y= A-x2 from (1,0) to (0,1).

Q: Evaluate the integral. (tant 6t dt tan 6t - tan-6 + 1 tan-6t + 36 tan 6t + t + C 18 1 tan 6t + 18…

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Q: In x dx a/1+(ln æ)? (In x 2

A: We have to evaluate the given integration

Q: Show that Q(i) is an integral domain

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: . +2 sec? (20 - ㅠ)) dθ 20- ㅠ

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Q: Evaluate the integrals

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Q: rt01+sin x +00 -dx x2

A: Here we will use  integration by parts  ∫uv dx= u ∫v dx -∫dudx∫vdxdx

Q: 5. म 4-93ो डे (A-कर कर Cos (4-3x) dx

A: ∫sin54-3xcos44-3x dx=∫sin44-3xcos44-3x sin4-3x dx=∫sin24-3x2cos44-3x sin4-3x dx=∫1-cos24-3x2cos44-3x…

Q: 2 6 f sec 0 tane de

A: To Find : ∫sec2θtan6θdθ

Q: 4 xdx J(x+1)(х +4) 2

A: Here we have to apply integration by partial fraction method. We have the formula,…

Q: Estimate the integral of 0 to 7 based on this graph

A: Here we have to find estimate the integral 0 to 7 by using the given graph.

Q: Evaluate the integral Jx* cos 7x dx

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Q: Let F = (9yz)i + (10xz)j + (9xy) k. Compute the following: A. div F = 0 B. curl F = C. div curl F =…

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