What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

Q: d x4. dx x³J3.a x*J3.b0 X' x³J3c0 x*J4 d O

A: We first write the general form of j_n then we take the derivative of x^4j_4 with respect to x and…

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Q: A fair coin is tossed two times independently. Let H₁ = {1₁ (1, if head is obtained at the ith toss…

A: When head is obtained at 1st toss then H1= 1  When head is not obtained at 1st toss then  H1= 0 When…

Q: 0 23

A: As per the given table,  there is a difference of 5 in column 1 and column 2  This is the pattern…

Q: Prove that m-l dx =0 m +n (し+x)" where m,n are both Positive

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Q: -6 B) [ x In(x) 12

A: First I have used the property of logrithmic and made the integral easy and then by substitution…

Q: Find the inde finite integrel. de 9- 16x"

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Find indefinite intrege ex -2e て +)S =xp ( xe

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Q: MATH1274 Assignment #6 1) a) Evaluate the following definite integrals: S = 2x (4-x³) αx -2 dx b) 4…

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Q: re 1 da Ji rVI- (In x)²

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Q: d di V(I + t*)s

A: Given ddx1+t757

Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: Let n be a positive integer. Without any calculations, the value of integral 3 La 22n+1, because the…

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Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

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Q: Prove (A N (B U C) = Ā U (B U C) %3D

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Q: aF O F2 aF, If F = F,I+Fj +F,k then prove that div F = + ду

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Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.2 3 O 3.4 O 2.8

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Q: e?dx o V1 +x

A: Prove that ∫0∞e-x/21+x2dx<(π2)1/2 Here we use Holde's inequality for two measurable functions.

Q: Paove that b the total ditfesential equation Po) de +Q d y + R)d2=0N Integaable it and only it dR-dp…

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