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1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)...

1)`int_(-pi/2)^pi sin^(-1) (sinx) dx`
2)`int_(-pi/2)^(pi/2) (-pi/2)/(sqrt(cos x sin^2 x)) dx`
3) `int_0^2 2x[x] dx`

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1) int_(-(pi)/(2))^(pi)sin^(-1)(sin x)dx 2) int_(-(pi)/(2))^((pi)/(2))(-(pi)/(2))/(sqrt(cos x sin^(2)x))dx 3) int_(0)^(2)2x[x]dx

int_(-pi/2)^(pi/2) sin^(2) x dx

int_(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx

int_(-pi)^(pi)sin^(2)x.cos^(2)x dx=

int_(0)^( pi/2)sin^(2)x cos x dx

int_(-pi//2)^(pi//2) sin^(2)x cos^(2) x(sin xcos x)dx=

int_(-pi//2)^(pi//2)(sin^(2)x.cos^(2)x(sin x+cos x))dx=

int_(0)^(pi/2)(sin^(2)x*cos x)dx=

int_(0)^(pi//6) sqrt(1-sin 2x) dx

RESONANCE DPP-JEE MAINS-All Questions
  1. If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...

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  2. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  3. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

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  4. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

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  5. int(sqrt(1+x^2)-x)^n dx

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  6. The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 i...

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  7. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

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  8. The expression in the vector form for the point vec r1 of intersectio...

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  9. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

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  10. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  11. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

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  12. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

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  13. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

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  14. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...

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  15. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  16. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/sqrt(1+t^2) ...

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  17. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  18. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

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  19. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  20. If int((x-1)dx)/(x^2sqrt(2x^2-2x+1))=(sqrt(f(x)))/(g(x))+C ,t h e n f...

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