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If a >0 and a!=1 evaluate the following ...

If `a >0` and `a!=1` evaluate the following integrals: `inte^x\ a^x\ dx` (ii) `int2^((log)_e x)\ dx`

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: int(cos2x+2\ sin^2x)/(cos^2x)\ dx

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

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

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

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

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

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

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

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

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  10. Evaluate : int(e^(logsqrt(x)))/xdx

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

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

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

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

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  15. Evaluate: int(x^2+1/(x^2))^3\ dx

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  16. Evaluate: int((1+x)^2)/(sqrt(x))\ dx

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  17. Evaluate: int(x^3-x^2+x-1)/(x-1)\ dx

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  18. Evaluate: int(x^4+x^2+1)/(x^2-x+1)\ dx

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  19. Evaluate: int(3\ s in\ x-2cosx+4s e c^2x-5cos e c^2x)\ dx (ii) intsqr...

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  20. Evaluate: (i) sqrt(1-cos2x)\ dx (ii) intsqrt(1+sin2x)\ dx

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