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Evaluate the following definite integral...

Evaluate the following definite integral: `int_1^e(e^x)/x(1+x log x)dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following definite integral: int0^(pi//2)x^2cos2x\ dx

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  2. Evaluate the following definite integral: int1^2logx\ dx

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  3. Evaluate the following definite integral: int1^e(e^x)/x(1+x log x)dx

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  4. Evaluate : inte^(e^2){1/(logx)-1/((logx)^2)}dx

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  5. Evaluate the definite integrals int0^1(2x+3"")/(5x^2+1)dx

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  6. Evaluate the following definite integral: int0^1 1/(2x^2+x+1)dx

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  7. Evaluate the following definite integral: int0^2 1/(sqrt(3+2x-x^2))dx

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  8. Evaluate : int0^1x(1-x)^5dx

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  9. Evaluate the following definite integral: int0^1(x e^(2x)+sin pix/2)dx

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  10. Evaluate the following definite integral: int(pi//2)^pie^x((1+sin x)/(...

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  11. Evaluate : int0^(2pi)e^xcos(pi/4+x/2)dx

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  12. Evaluate the following definite integral: int0^pi(sin^2x/2-cos^2x/2)dx

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  13. If int0^a3x^2dx=8, find the value of adot

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  14. Evaluate the following integral : intpi^(3pi//2)sqrt(1-cos)\ 2x\ dx

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  15. Evaluate the following integral : int0^(2pi)sqrt(1+sin(x/2))dx

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  16. Evaluate : int0^(pi/4)(tanx+cotx)^(-2)dx

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  17. Evaluate the following integral : int(pi//6)^(pi//3)(t a n x+cot x)^2d...

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  18. Evaluate : int0^1 1/(1+2x+2x^2+2x^3+x^4)dx

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  19. Evaluate : int0^1xlog(1+2x)dx

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  20. Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx

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