Evaluate the following indefinite integral. Show all intermediate steps. fx√x+1 dx

Q: 1 0 dx 1 − xlnx

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Q: x² – 2x dx

A: Given integral can be written as By using the following substitution we get

Q: 6 dx. 1+ 9x2 Calculate

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Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: Stan-1x dx = xtan-x - In(x² + 1) +. Select one: True O False

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Q: dx 6. 4+ 5сosx

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Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

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Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: .2 dx Jo (9 + x²)2

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Q: 22 Evaluate S- dx. 3/2 +1

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Q: x V2x – 1 dx dr

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…

Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Find. (x²+1)3 2x dx

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Q: 2 dx Evaluate J xvx4 + 25

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Q: dx xVT -x? 1 x

A: We have to evaluate the integrals: ∫dxx21-x2 Let I=∫dxx21-x2 Taking x2 common from square root,…

Q: al3x cosec/3 Evaluate |sec*x cosec x dx.

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Q: 2х -1 -dx. x +3 Evaluate

A: Let,           I=∫2x-1x+3dx

Q: Evaluate f x²n. x2n-1 x + 1 dx.

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Q: Calculate ∫(√x+3√x)dx.

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