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Evaluate the following definite integral...

Evaluate the following definite integrals as limit of sum: `int_0^3(x^2+1)dx`

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`I=int_{0}^{3}({x^{2}+1}) d x`

`I=[frac{x^{3}}{3}+x]_{0}^{3}=frac{(frac{3^{3}}{3}+3)-0}`
`=12`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
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  2. Evaluate the following integral: int(-pi//4)^(pi//4)|sinx|dx

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  3. Evaluate the following integral: int0^pix/(1+cos alpha sin x)dx

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  4. Evaluate the following integral: int0^(pi//2)x/(sinx+cos x)dx

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  5. Evaluate int0^pi x/(a^2-cos^2x)dx

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  6. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dxi s

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  7. Evaluate the following integral: int0^(pi//2)xsinx+cos^2x

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  8. int0^1cot^(- 1)(1-x+x^2)dx

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  9. Evaluate the following integral: int0^(pi//2)1/(2cos x+4sinx)dx

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  10. Evaluate the following integral: int(pi//6)^(pi//2)(cos e c\ xcotx)/(1...

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  11. Evaluate the following integral: int0^(pi//2)(dx)/(4\ cos x+2sinx)

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  12. Evaluate the following definite integrals as limit of sum: int0^4x\ dx

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  13. Evaluate the following definite integrals as limit of sum: int1^4(x^2+...

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  14. Evaluate the following definite integrals as limit of sums. int-1^1e...

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  15. Evaluate the following definite integrals as limit of sum: int1^3(x^2+...

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  16. Evaluate the following definite integrals as limit of sum: int0^2(2x^2...

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  17. Evaluate the following definite integrals as limit of sum: int(-1)^1(e...

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  18. Evaluate: int1^3(2x^2+5x)dx as limit of a sum

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  19. Evaluate the following definite integrals as limit of sum: int0^2(x^2+...

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  20. Evaluate the following definite integrals as limit of sum: int0^3(x^2+...

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