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Evaluate the following definite integral...

Evaluate the following definite integral: `int_0^(pi//2)(a^2 cos^2x+b^2sin^2\ \ x)dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate : int(pi/3)^(pi/4)(tanx+cotx)^2dx

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  2. Evaluate the following definite integral int0^(pi/2) cos^4 x dx

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  3. Evaluate the following definite integral: int0^(pi//2)(a^2 cos^2x+b^2s...

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  4. Evaluate the following definite integral: int0^(pi//2)sqrt(1+cosx\ )dx

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

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  6. Evaluate the following definite integral: int(-pi//4)^(pi//4)1/(1+sin ...

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

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  8. Evaluate the following definite integral int0^(pi/2) cos^4 x dx

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  9. Evaluate the following definite integral: int0^(pi//2)x^2sinx\ dx

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  10. Evaluate the following definite integral: int0^(pi//2)xcosx\ dx

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  11. Evaluate the following definite integral: int0^(pi//4)x^2sin x\ dx

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

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  13. Evaluate the following definite integral: int1^3(logx)/((x+1)^2)dx

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  14. Evaluate the following definite integral: int1^e(logx)/x dx

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  15. Evaluate the following definite integral: int1^2(x+3)/(x(x+2))dx

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  16. Evaluate the following definite integral: int0^2 1/(4+x-x^2)dx

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  17. Evaluate the following definite integral: int0^1sqrt(x(1-x))dx

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  18. Evaluate the following definite integral: int0^4 1/(sqrt(4x-x^2))dx

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  19. Evaluate the following definite integral: int1^4(x^2+x)/(sqrt(2x+1))dx

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  20. Evaluate the following definite integral: int1^2((x-1)/(x^2))e^x dx

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