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Evaluate the following integrals: int ...

Evaluate the following integrals:
`int ( cos 2x+2sin^(2)x)/(cos^(2)x) dx`

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The correct Answer is:
tanx+c
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MODERN PUBLICATION-INTEGRALS-COMPETITION FILE
  1. Evaluate the following integrals: int ( cos 2x+2sin^(2)x)/(cos^(2)x)...

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  2. Let I=int0^1 (sinx)/sqrtx dx and J=int0^1 (cos x)/sqrtx dx. Then which...

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  3. The value of sqrt(2)int(sinx)/(sin(x-(pi)/(4)))dx , is

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  4. int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...

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  5. Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x ...

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  6. The value of int0^1 (8log(1+x))/(1+x^2) dxis:

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  7. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

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  8. Let [] denote the greatest integet function then the value int0^1.5 x[...

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  9. If the integral int (5 tanx)/(tanx-2) dx=x+a log |sin x-2 cosx|+c, the...

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  10. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals

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  11. If int f(x)dx=psi(x), then int x^5f(x^3)dx

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  12. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

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  13. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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  14. The integral int(0)^(pi)sqrt(1+4"sin"^2(x)/(2)-4"sin"(x)/(2)) dx is e...

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  15. "The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"

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  16. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  17. The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...

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  18. underset (n rarr infty )(lim) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is e...

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  19. int(pi//4)^(3pi//4)(dx)/(1+cosx) is equal to

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  20. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

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  21. The integral int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3...

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