V1 + x² dx Q4/A Evaluate

Q: x2-3x+1 i) S xln²xdx and ii) S7 dx. (x+2)(x2+1)

A: Given: ∫x ln2 (x) dxFormula: (ln (x))'=1x∫ x dx=x22+C

Q: Evaluate v (36² - a²) (1 – a³ V3) v3b° x2 dx -

A: Solution is here

Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: 4 Evaluate f². dx 4-x*

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Q: x+2x dx r2+1 -2.

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Q: 43x2-2x dx . | Evaluate x + 2

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Q: r2V2 Vx2-4 dx

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Q: 26x°- 52x+3 dx. Evaluate x2 - 2x

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Q: .5 dx Vx4 – 2x2 + 1 b. 3

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Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

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Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: e2x dx Evaluate: 9-4e4

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Q: dx Evaluate | V5x – 7

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Q: dx Evaluate: (x2 + 4)

A: Given that ∫1(x2+4)2dx We need to apply the reduction formula ∫1(ax2+ b)2  dx = 2 n − 32 b (n−1 )∫1(…

Q: x³ +2x .3 dx x2+1

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Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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Q: 3 csc2 V1-4cot² x x dx

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Q: x² +1 dx. Vr3 + 3x Evaluate

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Q: 2x + 1 Evaluate dx x2 - 7x + 12

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Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: Vx – 2x2 dx. Evaluate 1

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Q: (2x²– 4x + 4) dx Evaluate: -1

A: This is a basic definite integration problem

Q: 2. secx d X secx

A: ∫sec2x5-sec2xdxPrepare for substitution, use:sec2x=tan2x+1

Q: x2 8. dx V9 – x2

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Q: 1 dx x²V9-x² Evaluate

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Q: 2x +5 Evaluate dx Vx² -2x+10N

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Q: dx D3. Evaluate (x²+9)(x²+4)

A: Integration

Q: -6 3 dx. - 25 - Evaluate x² -

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Q: 6. f(t) = e-5t(5 + t³) %3D

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Q: V22 -7x dx Jo V1 – x2

A: Given

Q: d² Vx7 b) Evaluate dx2 x=9

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Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: 3x2 + 5 dx. x2 – 3x +2 Evaluate

A: Integrate∫3x2+5x2−3x+2dx

Q: g3 +5x²+9x+7 dx dæ Evaluate x²+5x+4

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Q: 9x²–x+ dx 1. Evaluate

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: dx 7. 7- Зх

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Q: V212 -7x2 dx Jo V1- x?

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Q: 2x Evaluate dx using suitable technique. (x² +4)(2x-1)

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Q: Evaluate I 6 dx 3-2X -x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: dx 2. Evaluate -2 v2x2 + 8x + 10

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Q: 8x' +13x dx. (x² +2)² (b) Evaluate

A: Using partial fractions, Partial fractions of 8x3+13x(x2+2)2=Ax+Bx2+2+Cx+D(x2+2)2 as there is square…

Q: Sx²e-x² H₂(x)H₂(x) dx

A: We know that Hn+1x=2xHnx-2nHn-1x⇒2xHnx=2nHn-1x+Hn+1x⇒xHnx=nHn-1x+12Hn+1x…

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Q: Evaluate. r2v3 dx 25 - x2 0.

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Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: z²√(-z² + 1)5 dz

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Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…