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The integral int(2x^(12)+5x^9)/((x^5+x^3...

The integral `int(2x^(12)+5x^9)/((x^5+x^3+1)^3)dx` is equal to: (1) `(-x^5)/((x^5+x^3+1)^2)+C` (2) `(x^(10))/(2(x^5+x^3+1)^2)+C` (3) `(x^5)/(2(x^5+x^3+1)^2)+C` (4) `(-x^(10))/(2(x^5+x^3+1)^2)+C` where C is an arbitrary constant.

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The integral int(2x^(12)+5x^(9))/([x^(5)+x^(3)+1]^(3))*dx is equal to- (A) (x^(10))/(2(x^(5)+x^(3)+1)^(2))(B)(x^(5))/(2(x^(5)+x^(3)+1)^(2))(C)-(x^(10))/(2(x^(5)+x^(3)+1)^(2))(D)-(x^(5))/(2(x^(5)+x^(3)+1)^(2))

int((2x^(12)+5x^(9))dx)/((x^(5)+x^(3)+1)^(3))

The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to (where C is a constant of integration)

int(2x^(2)-3x-3)/((x-1)(x^(2)-2x+5))dx

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

int(2-5x)(3+2x)(1-x)dx

int((9x^(2)-4x+5))/((3x^(3)-2x^(2)+5x+1))dx

int(2x+3)/((x-1)(x^(2)+1))dx=log_(e){(x-1)^((5)/(2))(x^(2)+1)^(a)-(1)/(2)tan^(-1)x+C,x>1 where C is any arbitrary constant,then the value of a'a' is

int(x^(6)+1)/(x^(2)+1)dx is equal (x^(5))/(5)+(x^(3))/(3)+x+c(b)(x^(5))/(5)-(x^(3))/(3)=x+c(x^(5))/(5)-(x^(3))/(3)+(x^(2))/(2)+c(d)(x^(5))/(5)-(x^(3))/(3)+x+c

The integral int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))dx is equal to (1) (1)/(3(1+tan^(3)x))+C(2)(-1)/(3(1+tan^(3)x))+C(3)(1)/(1+cot^(3)x)+C(4)(-1)/(1+cot^(3)x)+C

JEE MAINS PREVIOUS YEAR-INTEGRALS-All Questions
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  2. Let F(x)""=""f(x)""+""f(1/x),"w h e r e"f(x)=intt^x(logt)/(1+t)dtdot ...

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  3. int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (...

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  4. The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi...

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  5. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then w...

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  6. Let p(x) be a function defined on R such that p '(x)""=""p '(1-x) , fo...

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  7. The value of int0^1(8log(1+x))/(1+x^2)dx is: (1) pilog2 (2) pi/8lo...

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  8. If g(x)""=int0xcos4t"dt" , then g(x""+pi) equals: (1) (g(x)/(g(pi) (2...

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  9. If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a i...

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  10. If intf(x)dx=psi(x) , then intx^5f(x^3")"dx is equal to

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

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  12. The integral int0^pisqrt(1+4sin^2(x/2)-4sin(x/2)dx) equal (1) pi-4 ...

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

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  14. The integral int(dx)/(x^4 - 1)^(1/4) equal:

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

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  16. Let In=inttan^n xdx ,(n >1) If I4+I6=atan^5x+b x^5+C , Where ...

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  17. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

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