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Evaluate each of the following integral:...

Evaluate each of the following integral: `int_0^(pi//2)cos^2x\ dx`

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Evaluate each of the following integral: int_(-pi//2)^(pi//2)cos^2x\ dx

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate each of the following integral: int0^1(2x)/(1+x^2)dx

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  2. Evaluate each of the following integral: int0^(pi//4)sin2x\ dx

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  3. Evaluate each of the following integral: int0^(pi//2)cos^2x\ dx

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  4. Evaluate each of the following integral: int(-pi//2)^(pi//2)cos^2x\ dx

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  5. Evaluate the following integral: int(-pi//2)^(pi//2)x\ cos^2x\ dx

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

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  7. Evaluate each of the following integral: int0^ooe^(-x)dx

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  8. Evaluate each of the following integral: int-1^1 1/(x^2+1)dx

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  9. Evaluate each of the following integral: int0^(pi//2)logtanx dx

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  10. Evaluate the following integrals: int0^(pi//2)(sin^n x)/(sin^n x+co...

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  11. Evaluate each of the following integral: int(-pi//2)^(pi//2)log((a-sin...

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  12. Evaluate each of the following integral: inta^b(f(x))/(f(x)+f(a+b-x))d...

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  13. Evaluate each of the following integral: int0^2sqrt(4-x^2)dx

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  14. Evaluate each of the following integral: int0^1x\ e^x^2dx

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  15. Evaluate each of the following integral: inte^(e^2)1/(xlogx)dx

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  16. Evaluate each of the following integral: int0^(pi//2)e^x(sinx-cos x)dx

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  17. Evaluate each of the following integral: int2^4x/(x^2+1)dx

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  18. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

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  19. If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot

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  20. If (x)=int0^x tsint\ dt ,\ then write the value of f^(prime)(x)

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