Evaluate the integral. (x8 + 6y5) dy

Q: /2 + x dx

A: The solution are next step

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A: Evaluate the given integral as follows. ∫01∫01∫01x2+y2+z2 dz dy dx=∫01∫01∫01x2+y2+z2 dz dy…

Q: Evaluate the integral, if it exists.  ∫01 y (y2  + 1)5 dy

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Q: Evaluate the integral, if it exists.    ∫0T (x4 - 8x  +7) dx

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A: Given :          ∫xe6x2 dx   To evaluate the given integral.

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A:

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A: The given integral is ∫x+2x2+4xdx. Evaluate the integral.

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Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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Q: Evaluate the integral : 5x-x? dx (x-1)(x+1)² +C

A: We have to solve the integration

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A:

Q: Evaluate the integral. r 2 6X dx

A: ∫ax.dx = ax/ln(a)  +  c

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Q: Evaluate the integral.

A: Given integral is ∫1x21+x2dx

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A: The collection of all antiderivative of f is called the indefinite integralof f with respect to x,…

Q: Evaluate the integral. x sec?(8x) da +C

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Q: . Evaluate the integral, if it exists. L(** – 3x/3 + 1) dx а. i (20* -) dx b. 2e* X.

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Q: Find the integral by using the integral table on the inside bac dx x(x + 5) + C

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Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5.

A:

Q: Evaluate the integrals. ∫x7√(x4 + 1) dx

A: The given integral is ∫x7x4+1dx.

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A:

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A: Scince you have asked multiple questions in single request , so we will answering only first…

Q: (p) / V5– ² dx.

A:

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A: Solve the integration .

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A: Consider the given integral:

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Q: Evaluate the integral. x sec (8x) dx + C

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A: Based on the general formula used for integration we will evaluate this integration problem.…

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A: Given: ∫y2y3+27dy

Q: Find the integral. J (x³ + 4x– 3) dx

A: