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Evaluate the following: int0^(pi/6)sin2x...

Evaluate the following: `int_0^(pi/6)sin2xcosxdx`

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`2/3-(sqrt3/4)`
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. Evaluate the following: int0^(pi/4)cos^2xdx

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  2. Evaluate the following: int0^(pi/2)dx/(1+cosx)

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  3. Evaluate the following: int0^(pi/6)sin2xcosxdx

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

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  5. Evaluate the following: inta^babsx/xdx

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  6. Evaluate the following: int0^(pi/3)[tanx]dx

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  7. Find the value of sqrt2int0^(100pi)sqrt(1-cos2x)dx

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  8. If intcos^4x/(sin^2x)dx = Acotx+ Bsin2x+C/2x+D, then find the value of...

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  9. The value of int0^(pi/2)dx/(1+tan^3x) is

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  10. inte^x(1+x)sec^2(xe^x)dx= f(x)+constant, then find f(x)

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  11. If int(e^x-1)/(e^x+1)dx= f(x) +c, then find f(x).

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  12. intx^2e^(x^3)cos(e^(x^3)) dx is equal to

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  13. underset(trarra)lim(inta^tf(x)dx-((t-a)/2)(f(t)-f(a)))/(t-a)^3

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  14. Evaluate :underset(nrarrinfty)lim((1^m+2^m+...+n^m)/n^(m+1))

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  15. Evaluate: underset(nrarrinfty)lim[(1/n^2sec^2(1/(n^2))+2/n^2sec^2((4)/...

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  16. The value of underset(nrarrinfty)limn{1/(3n^2+8n+4)+1/(3n^2+16n+16)+.....

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  17. The value of underset(nrarrinfty)lim1/n^2{sin^3(pi)/(4n)+2sin^3 (2pi)/...

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  18. The value of (n!)/((n-2)!) ia

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  19. The value of int(-2)^2 (sin^2x)/([x/pi]+1/2) dx where [x] denotes the ...

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  20. If I=int(pi/6)^(pi/6) (pi+4x^5)/(1-sin(absx+pi/6))dx then I equals

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