S4x(5x³ – 3x)dx

Q: |3 Sm2万x d x'ln tz de

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Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: Find the antiderivative dx/(x2-100)2

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Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

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Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: Evaluate the antiderivatives. 2x dx 5 S

A: ∫2xdx/5 ∫axdx = ax/lna here a =2

Q: x5V16x6 – 24x3 + 9 dx -

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Q: E Vx+6 = 3 (Sx + 가

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Q: Integrate the following. X-1 1. S Vx2-2x-5 dx

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Q: (d) S ! + de 1 d.x V1-x²

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Q: S(8x3 + x-3)dx

A: Solve by integration

Q: Integrate the following: S (x* – 5æ³ + 6) dæ 6 v²) dx 2.

A: Topic:- integration

Q: :.S •√ √x(x² – 3x + 2)dx

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: 18 Find J4 dx.

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Q: 13. x² + 9 dx

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Q: 2x dx V5 + 4x – x²

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Q: x²+7x+13 2. S dx x+4

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Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: 1+e4x 1+e9x dx.

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Q: 1. Sx³dx dx 2. S

A: In integration we basically have definite and indefinite integrals . In definite integral we have…

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: S(2x3 + x)V2x² + 1 dx

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Q: Find the most general antiderivative of 5x^2 + √ x.

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Q: Integrate the following. x-1 1. S dx /x2-2х-5

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Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: e3x dx ex – 1

A: Given: I=∫e3xex−1dx

Q: x – dx х — 7

A: Given, ∫xx-7dx    We have to find the antiderivative.

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: 2 /x_ e-x/4 dx, T20

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Q: Find the most general antiderivative, (5e 3x -4 e-X) dx

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: dx .9. S . O/x (/x – 1)

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Q: 4. S(x + e*)²dx

A: ∫x+ex2dx

Q: Find the antiderivative dx/(49x2+16)2

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Q: x*dx 3. S x2-1

A: use a partial fraction to solve the integral.

Q: Integrate the following. X-1 1. S dx Vx2-2x-5

A: Let I is the value of given Integral.

Q: Ső 1 x²+7x+10 dx

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Q: Evaluate (i) dx S √e xlnx√(2lnx)² – 1

A: We are asked to evaluate the integral

Q: evaluate using the appropriate method or combination of methods.

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Q: |y" Coa x dx whener 낚)o 5 g #1

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Q: Find the antiderivative x3 (i) dx (3–2x)5

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 6x V3x4 +2 dx

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Q: (c) Sdx – x)(x + 2)dx 5 — х) (х + 2)dx 4 3 (d) S* dx х —х 5

A: Please see the explanation below....

Q: Integrate the following: S (3x³ – 2x + 7)e²-*dx 2-3x a)

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Q: If F(x) = 2x³ is an antiderivative of f(x), find !/ (-3f(x) + 4x³) dx.

A: →If F(x) is an antiderivative of f(x) , then it means that ∫f(x)dx =F(x)→∫xndx = xn+1n+1 + C , where…

Q: dy ycotx + y³cscx dx

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Q: Find the antiderivative of ln(x)/x7

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