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Evaluate int^63(2x^2+3x+5)dx....

Evaluate `int^6_3(2x^2+3x+5)dx`.

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`int(2x^2+3x+5)dx`
` =int 2x^2dx+int 3xx+int 5 dx`
`=2int x^2dx+3intx dx+5 int x^0dx`
` 2x^3/3+3x^2/2+tx^1/1`
` =2/3 x^3+3/2 x^2+5x`
Thus, `int^6_3(2x^2+3x+5)dx=[2/3x^3+3/2x^2+5x]^6_3`
`2/3(216-27)+3/2(36-9)+5(6-3)`
`=126+40.5+15=18.15`.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
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  6. Refer to figure Find a the magnitude, b x and y components and c. the ...

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  11. Suppose veca is a vector of magnitude 4.5 unit due north. What is the ...

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  13. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

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  14. Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck. Find the angle ...

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  15. Prove that vecA.(vecAxxvecB)=0

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  16. If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB.

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  17. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  18. A particle moves on a given straight line with a constant speed v. At ...

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  19. The force on as charged particle due to electric and magnetic fields i...

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  20. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  21. A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi...

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