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Evaluate the following integral as lim...

Evaluate the following integral as limit of sums: `int_0^2(x+4)dx`

Text Solution

Verified by Experts

Given,
`int_0^2(x+4)dx`
=`[x^2/2+4x]_0^2`
=`4/2+8`
=`10`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate : int0^pix/(1+sinalphasinx)dx

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  2. Evaluate the following integrals: (1-35) int0^(pi//2)(asinx+bcosx)/...

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  3. Evaluate the following integral as limit of sums: int0^2(x+4)dx

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  4. Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.

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  5. Evaluate: inta^bsinx dx using limit of sum

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  6. Mark the correct alternative in each of the following: int0^1sqrt(x...

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  7. Evaluate : int0^pi1/(1+sinx)dx

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  8. If int0^asqrt(x)dx=2aint0^(pi//2)sin^3xdx find the value of inte...

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  9. Evaluate: (i)int0^4 1/(sqrt(x^2+2x+3))dx

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  10. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

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  11. If int1^a (3x^2 + 2x +1)dx = 11 then the value of a is

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  12. If inta^b x^3dx=0, and If inta^b x^2dx=2/3, find a and b.

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  13. Evaluate: int0^(pi//2)sqrt(1-cos2x)dxdot

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  14. Evaluate: int0^(pi//2)sin^4xdx

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  15. Evaluate: int0^(pi//4)sqrt(1+sin2x)dx (ii) int0^(pi//4)sqrt(1-sin2x...

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  16. Evaluate: int(pi//4)^(pi//2)sqrt(1-sin2x)dx

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  17. Evaluate the following integrals: (1-35) int(-2)^2(3x^3+2|x|+1)/(x^...

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  18. Evaluate the following integrals: (1-35) int0^pixsinx cos^2x dx

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  19. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

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  20. For x >0,l e tf(x)=int1^x((log)e t)/(1+t)dtdot Find the function...

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