[x³ In 4x dx A) _ x4nux - A x +C oA nixt dx4+c 4x 16 B) In 4x xr…x4.C D) =xAndx- +x4+C

Q: Evaluate the integral -9f5 dt /1² +2

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Q: 7x² dx Vx² – 16 - +C

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Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: 5 S(4x² – 12x +9) ²dx

A: We use here binomial expansion and then we  integration.

Q: evaluate the integrel of (4+r)^3 dr

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Q: Compute the following. [4x16 +8x5 – 13x +18x17/9+7x-8+3] dx

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Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: Evaluate the integral

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Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

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Q: 2x+1 3-2x-x² メーX

A: We can solve this integral as below

Q: 12 So cx 202x2+3x+1

A: Given  To find antiderivative , we need to apply partial fractions Factor the denominator part

Q: Show that T 9²²-x² dx ча In atx a-x +C

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Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: 4-x dx 4

A: Given       ∫4-x2x4dx

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: S 3 dx 5x² + 11x + 13/2

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Q: 1 1+9g2 dæ| dxl

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Q: 4x10 + 2x4 + 15x11 4 + (3x – 5)12 dx x12 x2 + 1

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