Application MCQs (Medium)

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1.
integral dx/(x^4+x^2+1) can be evaluated by:
2.
integral(0 to pi/2) sin^4(x)cos^2(x) dx equals:
3.
integral e^x((x^2-1)/(x+1)^2) dx equals:
4.
integral sqrt(x^2+4x+8) dx. After completing the square, the integral becomes:
5.
integral (x^2+1)/((x-1)(x+1)(x+2)) dx involves partial fraction constants A, B, C. The value of A (for 1/(x-1)) is:

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