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Evaluate: inte^(2x)((1+sin2x)/(1+cos2x)...

Evaluate: `inte^(2x)((1+sin2x)/(1+cos2x))dx`

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To evaluate the integral \[ \int e^{2x} \frac{1 + \sin(2x)}{1 + \cos(2x)} \, dx, \] we can follow these steps: ...
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RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. E v a l u a t e:int(x^4+x^2+1)/(x^2-x+1)dxdot

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

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  3. Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

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  4. Evaluate int(3cosx+2)/(sinx+2cosx+3)dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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