Compute the given integral. 1 dx = x² 16 +C

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Q: Find the following integral. Note that you can check your answer by differentiation. 4x dx 2+ e4x

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Q: Evaluate the triple integral. 4 v16-x* /16-x²-² ITT- dy dz dx

A: Given integral is evaluated as follows.

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A: ∫x3+3x2-5xx dx

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A: 1.

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Q: Compute the given integral. + 49dx +C

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A: ∫4x-1 dx

Q: Compute the given integral. 16dx +C

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Q: 19-44 Evaluate the integral. ^2 (x³-2x) dx (+3 19. 4 (5-2t + 3t²) dt 23. V dx

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Q: „(2x+3)dx x²+3x

A: ∫2x+3 dxx2+3x Put, x2+3x=tDifferentiating with respect to x, we get⇒2x+31=dtdx⇒2x+3 dx=dt

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Q: 3. Evaluate the integral of dx from x = 1 to x = X -

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Q: Evaluate the definite integral. t1/7 dt |

A: Given information; The integral is ∫0-1t17-t27 dt. Calculation: Use the property ∫abfxdx=-∫bafxdx,…

Q: Evaluate the double integral. dA, D x² + 1 D = {(x, y) | 0< x< 7,0 < y < Vx}

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Q: ) dx 5.

A: the given integral is: ∫1x-2+1x dx we have to evaluate the given integral.   let the given integral…

Q: sech x tanh x =dx 9+ sech? x

A: Consider the integral: I=∫sech x tanh x9+sech2 xdx……1

Q: 6. S dx 6x+1

A: 6.

Q: SE + 8) dx 3. 4

A: Given: 3.∫x24+8dx4.∫x2 3+1xdx

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

Q: 1 + ) dx 4.

A: The given integral is ∫x23+1x dx. Evaluate the above integral as follows.

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A: Use substitution method

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A: Solution is here

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A: The given integral is ∫116∫14xy+yxdydx Solve the integral.   Here we use the integral formula:…

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A: Using standard formulas &amp; rules of integration.

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A: We have to evaluate the given double integral.

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A: Let I=∫1e2x ln(x3) dx I=∫1e2xln (x13)dx =13∫1e2x ln(x) dx Let assume u=ln(x), v=x

Q: dx x+2 17.

A: There are multiple question. As per Company policy ask other question separately. 17.

Q: What do we get when we reverse the order of integration in the double integral f(x, y) dy dx ?

A: We have to rewrite the given integration by changing the order of the variables.

Q: Write and solve Euler equations to make the following integral stationary. Please use two different…

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Q: (5x³+ 3x²-8' 10. S )dx x2

A: 10) The given integral ∫5x3+3x2-8x2dx can be evaluated as, ∫5x3+3x2-8x2dx=∫5x3x2+3x2x2-8x2dx…

Q: Evaluate the definite integral. (Round your answer to three decimal places.) *In(8) ex dx 1 + e²x

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Q: S(2 - ) dz 4.

A: ∫z-14 dz

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A: To obtain the solution of the nohomogeneous differential equation pxy''+qxy'+rx=gx, find the general…