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

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A:

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A: ∫xndx=xn+1n+1+C

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A: The detailed solution is given below Thank you

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A: Given integral is ∫0ln5x+12exdx

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A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

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Q: dx 1. S 1-x2

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Q: Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

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A: Please see the answer below.

Q: The particular integral of (D² +1)y = x is

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Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

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A: Solve by integration

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A: topic - indefinite integral

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Q: Evaluate the iterated integral. 4 (x2 – 2y²) dx dy

A: Given problem:-

Q: Evaluate the integrals. ∫y2(3y3 + 1)4 dy

A: Since, we have to evaluate the integral given below:-∫y2(3y3+1)4 dy -(i)

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A: The given integral is:∫-2x+4x2+1x-1dxWe need to evaluate the above integral.

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A: Find the integral using substitution method

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A: Given :    Integral : cos-1(x) dx

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A: Given integral, ∫xx2+1dxwe have to evaluate the given integral.

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Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

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Q: Find the integral 1 dx J x² + x + 4 +C

A: ∫1x2+x+4dx Consider, x2+x+4=x2+x+14+154=x2+2x12+122+154=x+122+154     ∵a+b2=a2+2ab+b2=x+122+1522

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Q: x3  (x2 + 9)^(1/2) dx What is the integral of this?

A: Given integral can be expressed as

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

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Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

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Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.