- 8x dx x²

Q: Find the integral ∫x / x2−9 / dx.

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Q: Find the indefinite integral.

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Q: Evaluate the indefinite and definite integral. 4x So √²+1 dx

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Q: Complete the square and find the indefinite integral.

A: To find: The integral of ∫x22x-x2dx Formula used: Power rule of integration: ∫xndx=xn+1n+1…

Q: Find the indefinite integral

A: Consider the integral

Q: Find the indefinite integral.

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Q: Find the indefinite integral. ∫(x3ex) dx

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Q: dx VI + V

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Q: Evaluate the definite integral |(3xe¯*)dx

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Q: Find the indefinite integral ∫ e5x (5) dx

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Q: Evaluate the indefinite integral. 15 + x*dx + C

A: Using Integration by substitution.

Q: | Vx+ + x6 dx

A: Given: The integral expression as ∫x4+x6dx, To evaluate: The value of given integral.

Q: Find the indefinite integral ∫ x2/(5 − x3) dx

A: Given integral:

Q: Evaluate the definite integral. XVx- 2 dx

A: ∫23xx-2dxSubstitute x-2 = tDifferentiate x w.r.t tdx = dt Changing limit :i) If x = 2 then t = 0ii)…

Q: Evaluate the definite integral. 2 бхе* dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (x²+1)³ .dx

A:

Q: 5 (x² + 1)ž dx x8

A: I = ∫x2+152x8dxI = ?

Q: dx (x+5)+9

A:

Q: Find the indefinite integral. (- x/x - 55 dx

A: Given : ∫xx-55dx

Q: 4. (x² – 4)dx c2

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Q: Evaluate the definite integral. x - 2 dx 12

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Q: T(-8sec Xtonx-9see?x)dx=)

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Q: Evaluate the integral. x² + 9 dx

A: we have to evaluate  ∫03x2+9dx

Q: Find the indefinite integral. 9(9x + 2)4 dx + C

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Evaluate the definite integral: - 6 e!/I dx

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Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

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Q: Find the indefinite integral by making the substitution x- 7tan e. dx 49+x²

A: See attached file for a step by step explanation.

Q: Зx2 + 4х + 1 dx ). *3

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Q: Evaluate the indefinite integral. 9 + x°dx + C

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Q: Find the indefinite integral. ∫(x4 + 8)/ x3 dx

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Q: Find the indefinite integral.

A: Given:          ∫x2+2x-6x4dx Expand: x2+2x-6x4=1x2+2x3-6x4 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

Q: Find the indefinite integral ∫ (x2 − 7) / 7x dx

A: To sove: ∫x2-77xdx Solving the given indefinite integral,…

Q: evaluate the definite integral.

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Q: State u and du and then find the indefinite integral: [ x - dx x* +5

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Q: Evaluate the definite integrals [(*-2r*) dx

A: Please refer to the image below.

Q: Find the indefinite integral. - 4x2 + 2) dx + C

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Q: dx 15. x1+(In x)*]

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Q: Evaluate the integral. x9/10 dx

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 Given: I=∫01x910dx

Q: x² -25 dx 3x+15 e)

A: Given integration is : ∫x2-253x+15dx  To find the value of integration.

Q: Sx²e=* dx Sx²e¬

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Q: Evaluate the definite integral. -1 2x-4 dx

A: ∫abxndx=nxn+1n+1ab = nbn+1n+1 - an+1n+1

Q: Solve the integral: 1 √√√√√x+x dx

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Q: x3 dxp (x²+4)7

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Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: Evaluate the definite integral. (x² – 3) dx -4

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Q: Evaluate the indefinite integral. x + 5 dæ x2 + 10x + C

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Q: Evaluate the indefinite integral. x2 – 4 dx

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Q: Evaluate the definite integral.

A: Given:∫-12 10e2x25 + e4x dxFormula:∫dxx2+a2 =1a tan-1xa +C

Q: Evaluate the definite integral. -4 (10 – 4x) dx 1

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Q: Evaluate the integral. x² + 49 dx

A: