/4 - x2 the integral | dx, becomes

Q: xe*dx 15. . (1+ x)²

A:

Q: 1. 5x²+4x2-5 dx

A:

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: 1. f4x-³ dx -3

A: Find the integral

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: -| Vx³ + 16x² dx

A: Let I=∫x3+16x2 dx I=∫xx+16 dx Let assume x+16=t2⇒dx=2t dt I=∫(t2-16)t(2t) dt =2∫(t4-16t2)dt

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: Find √√3 x² +3 x² +1 dx

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Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

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Q: s dx 20+ 8x - x²

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Q: What does the integral sign represent?

A: Consider  ∫f(x) dx

Q: dx (4x²+1)* 2.

A: The given integral is:  ∫84x^2+1dx Consider, x=12tanθ On differentiating both sides. dx=12sec2θ dθ…

Q: Evaluate 2x-4 (x-3)(x-1)(x+3) -dx

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Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: Evaluate -3)x+3 dx

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Q: - SxV4=x°dx

A:

Q: 4x dx (1-x²)³

A: