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Evaluate the following integration ...

Evaluate the following integration
`int(e^("alog x")+e^(" x log a" ))dx`

Text Solution

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The correct Answer is:
`(x^(e+1))/(a+1) +(a^(x))/(log a) +C`
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VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 1
  1. Evaluate the following integrals : int(tanx+cotx)^2dx

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  2. Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

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  3. Evaluate the following integration int(e^("alog x")+e^(" x log a"...

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  4. Evaluate int cos x cos 2x cos 5x dx

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  5. Evaluate the following integrals. int (1 + x) sqrt(1-x)dx

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  6. Evaluate the following integrals. int (2x -3)/(sqrt(2x-1))dx

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  7. Solve the following integration int (sin x+cos x)/(sqrt(1+sin 2x))*...

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  8. Evaluate the following integrals. int sin x cos x (sin 2x + cos 2...

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  9. Evaluate the following integrals. int (2x -3)/((1 + x)^(2)) dx

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  10. Solve the following integration int (dx)/(1+sin x)

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  11. Evaluate the following integrals. int (1)/(1-cosx)dx

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  12. Evaluate: int1/(e^x+e^(-x))\ dx

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  13. Evaluate the following integrals. int sin^(5)xdx

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  14. Evaluate: int(x^3)/(sqrt(x^8+4))\ dx

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  15. int \ (2xtan^(- 1)x^2)/(1+x^4)dx

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  16. Evaluate the following integrals. int (sinx + cos x)/((sin x - ...

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  17. Evaluate the following integrals. int (x dx)/(ax^(2) + b)^(p)

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  18. Evaluate: (i) int(cos^3x)/(sqrt(sinx))\ dx (ii) int(sin^3x)/(sqrt(cosx...

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  19. Evaluate the following integrals. int cosx tan^(3) x dx

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  20. Evaluate the following integrals. int tanx sec^(6) x dx

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