Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*x- 1] .0.5 1 -0.5 1- x2 .0.5 TX xp- 1-4x2

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: Determine the following integral: 3x + 3 dx x2 + 7x + 12

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Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

Q: 3x2-9x-34 1. S- dx x2-2x-24

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Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: Evaluate the definite integral 5 3 (8x (8x + 10)dx

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Q: Evaluate the integral by any method. NOTE: Enter the exact answer. V5 dx 3+ x4

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Q: 2 [*x* (Inx)² dx

A: Given integration is evaluated.

Q: Find the integral 2x /4-x4 dx

A: The given integral is ∫2x4-x4dx

Q: 11. 1 1 1- x

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Q: Integral 1. xp x²(x - 1)

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Q: Integral of 5xln(6x) dx

A: Given ,            ∫ 5x ln6xdx  By integrating by parts using the ruk ∫ uv dx=  u∫v dx-∫dudx∫v dx…

Q: √²x² in x dx = {_-6 -00, (p+1)²¹ p>-1 PS-1

A: