Find the Indefinite Integral. dx 12-3x

Q: dx I = a² +x²

A: Given query is to find integration of the expression.

Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral ∫ e 14x- 7 dx

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

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Q: Find the indefinite integral ∫ e5x−3 dx

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Q: Find the indefinite integral.

A: Given Data The equation is ꭍ√ (1+√x)dx.   Let,

Q: Find the indefinite integral. + 10x – 6) dx = +C.

A: We have to evaluate the  given indefinite integral.

Q: dx 1 sin xcot;x

A: We need to evaluate the indefinite integral ∫dxsin12x cot12x Now, we will use the fact that cot…

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

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Q: Find the indefinite integral ∫ e2x/ (4 + e4x)   dx

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Q: | Vx+ + x6 dx

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

Q: Find the indefinite integral.

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Q: Find the indefinite integral. dx

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Q: Evaluate the indefinite integral 4 dx 15x + C

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Q: Find the indefinite integral. 5 – ex e4x xp

A: the given integral is I = ∫5-exe4xdx

Q: (x²+1)³ .dx

A:

Q: 73/2 + 2x/2 – 4x¬1/2 dx

A:

Q: Find the indefinite integral.

A: We have to use substitution method of integration . The integration by substitution method is some…

Q: Evaluate the integrals

A: Question 69 - Let the given integral be y - y = ∫xe2xdxIdentity to be used - ∫uv dx =…

Q: Find the indefinite integral. ∫csc 2x dx

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Q: dx I = е. a² +x²

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

A:

Q: : Find the following indefinite integrals.

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Q: Find the indefinite integral. e2x dx 4+e4x

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Q: Find the indefinite integral. ∫5xe−x2 dx

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Q: Find the indefinite integral

A: Explanation: Given that,  ∫e2x4+e4xdx   Substitute  e2x=ue2x(2)dx=due2xdx=du2 Now 12∫14+u2duNow put…

Q: Evaluate the indefinite integral.

A: Given integral:

Q: Find the definite integral: a-1 dx 1

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Q: 3 dx

A:

Q: Find the indefinite integral.

A: Consider the given: ∫ e-x4-4x3dx=∫ -4e-x4x3dx=-4·∫ e-x4x3dx

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

A:

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 definite integral dxr.

A: use substitution method to solve the definite integral.

Q: evaluate the integral.

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

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Q: Evaluate the indefinite integral: 6 – 4xe" dx + C.

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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: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: Find the integral. 4x e sin(4x)dæ =

A: Using integration by-parts

Q: Find the indefinite integral. ∫e4x cos 2x dx

A: Here given integration as I=∫e2xcos 2x dx

Q: Find the indefinite integral

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Q: Evaluate the indefinite integral.

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Q: Evaluate the integral. 9. e dx -6

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Q: Find the indefinite integral. 17 dx +C

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Q: Find the indefinite integral. dx 8.

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Q: | Evaluate the definite integral: 4+ 5x? dx

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Q: Find the integral. e4x sin(6x)dx =

A: To find the integration.

Q: Evaluate the indefinite integral 9. dx a. х

A:

Q: Evaluate the indefinite integral 3xe*dx.

A: Given,          ∫3xe5xdx

Q: Evaluate the definite integral.

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