Question 13 | (10x+x*- 2r3– 3x2-6x+5)dx is equivalent to The definite integral A 2 (x-3x2+5)dx | 2(10x-2x-6x) dr B 2(x-3x2-6x +5) dx D 0.

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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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: How would I solve this problem using the product rule?

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Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

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

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Q: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

Q: 4x² + 5 -dx 3

A: Given, integral is

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: FindS( 3x- 2x3 + 4x2 – 5x + 2) dx | |

A: We have to solve above question  And find integral

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Calculate (3+1 x3+x a) using partial fractions b) using the substitution w = x3 +x

A: a) Given : ∫3x2+1x3+xdx  By Partial fraction  First, factor the denominator, we get 3x2+1xx2+1 =…

Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

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Q: 2. Integrate the following: /(x (x² + 7)*)dx a. 8x(x³ + 7)³(3x²) + c x³ ((x³ + 7)° + c 5 b. 3 (x³ +…

A: It is given that, ∫x2(x3+7)4dx   Here this integral can be solve by using substitution method.…

Q: Evaluate 4x² + x3 2x² – 3x - 2 dx.

A: the given integral is (4x2+x-3)/(2x2-3x-2).

Q: 8х — 3 dx x4 + 16x²

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Q: 10. Evaluate (4x-8)ex²-4x+3 dx

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Q: [(*+4) - 8]* dx 32 (*+ 4 )3

A: The given integral is 32∫0∞x+4-82x+43dx. Evaluate the value of given integral.

Q: 2x+6)dx x²+2x+5

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Q: EVALUATE THE FOLLOWING: 1. S(5x5-6x + 2x +55)dx (5x-4x*+7x)dx 3. SV5X+7 dx

A: (1).                                ∫5x6 -6x4 + 2x+ 6dx…

Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: Integrate

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Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 1 ۔ x3 +8 X + 2 t3 dx

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Q: (5) Evaluate 75 2x -dx. 5x8

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Q: 3log; x (16x² – 6)1²dx =

A: It is known that ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: 1 2 3x + + 2x + 5

A: Given,         ∫13x2+2x+5dx

Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

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Q: x4

A: