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intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(...

`intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i s` (a)`1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k` (b)`1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k` (c)`1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k` (d)`-1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(e(a^(2x)b^(3x)))+k`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. IfI=int(dx)/((a^2-b^2x^2)^(3/2)),t h e nIe q u a l (a)x/(sqrt(a^2-b...

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  2. If I=int(sqrt(cotx)-sqrt(tanx))dx , is equal to (a) sqrt(2)"log"(sqr...

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  3. intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(...

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  4. (inte^(x^4)(x+x^3+2x^5)e^(x^2) dx) is equal to (a)1/2x e^(x^2)e^(x^4...

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  5. int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^...

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  6. If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x...

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  7. If intf(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,then f(x) is equal to

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  8. If xf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(x)+f(x))/((6f(x)-x)(x^2-f(x)...

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  9. int dx/((1+sqrtx)sqrt(x-x^2) is equal to ?

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  10. The value of integral inte^x(1/(sqrt(1+x^2))+(1-2x^2)/(sqrt((1+x^2)^5)...

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  11. Evaluate: int sqrt(1+cosecx dx)

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  12. If I=intsec^2xcos e c^4x dx=Acot^3x+Btanx+Ccotx+D , then find the valu...

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  13. A curve g(x)=intx^(27)(1+x+x^2)^6(6x^2+5x+4)dx is passing through orig...

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  14. If intsqrt(cos e cx+1)dx=kfog(x)+c ,w h e r ek is a real constant, th...

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  15. int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= (a) sqrt(x^2+1/(x^2)+1)+C (b) (...

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  16. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+...

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  17. intsqrt(e^x-1)dx is equal to (a) 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+...

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  18. If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x...

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  19. If I=int(sinx+sin^3x)/(cos2x)dx=Pcosx+Qlog|f(x)|+R , then (a)P=1/2,Q...

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  20. If int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+C and F(x)=int(e^x)...

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