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Evaluate the following integrals: int...

Evaluate the following integrals: `intx^4\ dx` (ii) `intsqrt(x)\ dx`

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(i) `int x^{4} d x `
`=frac{x^{4+1}}{4+1}+C `
`=frac{x^{5}}{5}+C`
(ii) `int sqrt{x} d x`
...
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RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate int(3cosx+2)/(sinx+2cosx+3)dx

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  2. Evaluate : int1/(1+cos x)dx

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  3. Evaluate the following integrals: intx^4\ dx (ii) intsqrt(x)\ dx

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  4. Evaluate the following integrals: int1/(sqrt(x))\ dx (ii) int1/(x^3...

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  5. Evaluate: int(e^(5\ (log)e x)-e^(4\ (log)e x))/(e^(3\ (log)e x)-e^(2\ ...

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  6. Evaluate: (i) int2/(1+cos2x)\ dx (ii) int2/(1-cos2x)\ dx

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  7. Evaluate: (i) int(cos2x+2\ sin^2x)/(cos^2x)\ dx (ii) int(2\ cos^2x-cos...

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  8. If a >0 and a!=1 evaluate the following integrals: inte^(x\ (log)e a)\...

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  9. If a >0 and a!=1 evaluate the following integrals: inte^x\ a^x\ dx ...

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  10. Evaluate each of the following integrals: intx^4\ dx (ii) intx^(5//...

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  11. Evaluate each of the following integrals: int3^x\ dx (ii) int1/(x^2...

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  12. Evaluate: (i) intsqrt((1+cos2x)/2)\ dx (ii) intsqrt((1-cos2x)/2)\ dx

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  13. Evaluate: int(e^(6\ (log)e x)-e^(5\ (log)e x))/(e^(4\ (log)e x)-e^(3\ ...

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  14. Evaluate: int1/(a^x\ b^x)\ dx

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  15. Evaluate: (i) int(cos2x+2\ sin^2x)/(sin^2x)\ dx (ii) int(2\ cos^2x-cos...

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  16. Evaluate: int(e^(logsqrt(x)))/x\ dx

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  17. Evaluate: (i)int4x^5\ dx (ii) int2sinx\ dx (iii) int3^(x+2)\ dx (iv) ...

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  18. Evaluate: intx^3+5x^2-4+7/x+2/(sqrt(x))\ dx

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  19. Evaluate: int(x^3+5x^2+4x+1)/(x^2)\ dx

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  20. Evaluate: (i) int(1-x)sqrt(x)\ dx (ii) int(sqrt(x)+1/(sqrt(x)))^2\ dx

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