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

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

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: inte^(a x)cosb x\ dx

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  2. Evaluate: inte^(-x)cosx\ dx

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

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  4. Evaluate: (i)intcos( b x+c)dx (ii) intsin(logx)dx

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  5. int1/(1+tanx)\ dx= (log)e(x+sinx)+C (b) (log)e(sinx+cosx)+C (c) 2sec...

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  6. Evaluate: (i) ( i i ) (iii)int( i v )1/( v )(( v i )sqrt(( v i i ) ...

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

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

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

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

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

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

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  13. Evaluate: int(cos2x+2\ sin^2x)/(cos^2x)\ dx

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

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

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

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

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

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

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

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