dx = adt + bdz x = Xo + at

Q: dx sin*x

A: We have to integrate.

Q: 十つ

A:

Q: 5. Calculate S dx a) using partial fractions b) using the substitution w = 1 – x² (verify that you…

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Q: 2 sin (t) cos (t)d J

A:

Q: x-2 dx x + 2

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Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

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Q: Let G be the region bounded by the cylinder x? + z? = 1, the planes y=0, y=1 and z=0. By sketching…

A: Given region G is bounded by  x2+z2=1,y=0,y=1,z=0 we have to find the volume of solid

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: 2 +x+25 к 100

A:

Q: AaBb Replac 1 Normal 1 No Spac... Heading 1 Select Styles Editing 13) S x²e7* dx

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Q: The joint density function of Y and Y2 is given by S91. v) = 30y,yž, y1 –1s y s 1- yı, 0 < yı < 1,…

A: From the given information, fy1,y2=30y1y22, y1-1≤y2≤1-y1, 0≤y1≤1 a. Consider, F12, 12=Py1≤12, y2≤12…

Q: 2 v=S₁7(e²3²³ dx sori V=

A: Given integral ∫02π( ex )2dx

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: Differentiate the following integral with respect to a. [¹'e 3x 2 et - 1 t dt

A: Differentiation is the reverse process of integration.

Q: A3. In question A1 above, what is the value of P(Y₁>)? A: 2 3 B: 1 2² C: 1 3' D: 3 (3) ³.

A: The joint density function of the random  variable  and  is given by:

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: Please solve the problem step by dtep

A: The answer is as follows:P(x)=(x−1)(x+3)(x+5).Explanation:Steps and explanations are as follows:In…

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: To evaluate: The integration of ∫sin2x·cos 2x1+cos 4xdx. Formula used: Trigonometric relation: 1+cos…

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: V+ S₁₁ 275 (√5 - √55) 23 Si :) dy = 2-4

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Q: e sec(x+1)+ tan²(x)csc(x) dx

A: Integral ∫esecx+1 tan2x cosecx dx To evaluate given integral

Q: V = So 29 (3+2)(1-√5) dys

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Q: dx Q3 a. Evaluate the integral X - x

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Q: biz' dt 2

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Q: 16. [x3²² dx 1/2 √ √3 ªdu U=x² du=&dx ể duexdx

A:

Q: Can you give me one real life problem about integration?

A: Real life problem about integration Integration: integration is a method where we add the slices to…

Q: Ssin(3x) sin(7x) dx

A: