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The integral int(sec^2x)/((secx+tanx)^(9...

The integral `int(sec^2x)/((secx+tanx)^(9/2))dx` equals (for some arbitrary constant `K)dot` `(a) -1/((secx+tanx)^((11)/2)){1/(11)-1/7(secx+tanx)^2}+K` `(b) 1/((secx+tanx)^(1/(11))){1/(11)-1/7(secx+tanx)^2}+K` `(c) -1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K` `(d) 1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int sqrt(1+cosecx dx)

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

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  3. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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  4. Evaluate: int(x^3)/(sqrt(x^2+1))dx

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  5. Evaluate : int(2x)/((1-x^2)sqrt(x^4-1))dx

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  6. Evaluateintsqrt(secx-1)dx, 0ltxltpi/2

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  7. Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

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  8. Evaluate: If intcos^nxdotdx prove that In=1/n(cos^(n-1)xsinx)+((n-1)/n...

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  9. Evaluate : int (xdx)/sqrt(1+x^4)

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  10. Evaluate: int(e^(tan^(-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)(...

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  11. int(sqrt(x-1))/(xsqrt(x+1))dx is e q u a l to ln|x-sqrt(x^...

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  12. IfI=int(dx)/((2a x+x^2)^(3/2)),then I is equal to (a)-(x+a)/(sqrt(2a ...

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  13. If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) ...

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  14. inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dx is equal to (a)e^xtan(pi/4-x...

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  15. The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(...

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  16. Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then (a) ...

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  17. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

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  18. Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

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  19. If intsqrt((cosx-cos^3x)/((1-cos^3x)))dx=f(x)+c, then f(x) is equal to

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  20. If l^r(x) means logloglog...... x , the log being repeated r times, th...

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