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int(1)/(tanx+cotx+secx+"cosec "x)dx is e...

`int(1)/(tanx+cotx+secx+"cosec "x)dx` is equal to

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To solve the integral \[ \int \frac{1}{\tan x + \cot x + \sec x + \csc x} \, dx, \] we will simplify the expression in the denominator first. ...
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Explore conceptually related problems

The given expression f(x)=(1)/(tanx+cotx+secx+"cosec x") is equivalent to

int(dx)/(tanx+cotx+secx+cos e c x)=

int(1)/(tanx+cotx)dx=

cotx+tanx=2"cosec "x

int(secx."cosec"x)/(2cotx-secx"cosec x")dx di equal to

int(tanx+cotx)^2dx

(tanx + secx) (cotx + cosecx)

int cotx cosec^2x dx

RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: int(sin^6\ x+cos^6\ x)/(sin^2\ x\ cos^2\ x)

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  2. Evaluate: int(1+cos4x)/(cotx-tanx)\ dx

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  3. int(1)/(tanx+cotx+secx+"cosec "x)dx is equal to

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  4. Evaluate: (i) intsin^(-1)(cosx)\ dx ,\ \ 0lt=xlt=pi (ii) inttan^(-1)...

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  5. Evaluate int tan^(-1)(secx+tanx)dx,-pi//2ltxlt pi//2

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  6. Evaluate: inttan^(-1){sqrt(((1-sinx)/(1+sinx)))}\ dx ,\ -pi//2<x<pi//2

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  7. Evaluate: inte^(xloga)+e^(alogx)+e^(aloga)\ dx

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  8. Evaluate: int(x/m+m/x+x^m+m^x)\ dx

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  9. Evaluate: (i) int(2^x+3^x)/(5^x)\ dx (ii) int((a^x+b^x)^2)/(a^x\ b\ ^x...

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  10. Evaluate: (i) int(x^4+x^2+1)\ d(x^2) (ii) intsin(e^x)d(e^x)

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  11. If f^(prime)(x)=3x^2-2/(x^3) and f(1)=0 , find f(x) .

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  12. Evaluate the following: (i) int(3xsqrt(x)+4sqrt(x)+5)\ dx (ii) in...

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  13. Evaluate: (i) int{sqrt(x)(a x^2+b x+c)}\ dx (ii) int(2-3x)(3+2x)(1-2x...

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  14. Evaluate: int(m/x+x/m+m^x+x^m+m x)\ dx (ii) int(sqrt(x)-1/(sqrt(x)))^2...

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  15. Evaluate: (i) int((1+x)^3)/(sqrt(x))\ dx (ii) int{x^2+e^(logx)+(e/2...

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  16. Evaluate: (i) int(x^e+e^x+e^e)\ dx (ii) intsqrt(x)(x^3-2/x)\ dx

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  17. Evaluate: (i) int1/(sqrt(x))(1+1/x)\ dx (ii) int(x^6+1)/(x^2+1)\ dx

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  18. Evaluate: (i) int(x^(-1//3)+sqrt(x)+2)/(x^3)\ dx (ii) int((1+sqrt(x)...

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  19. Evaluate: (i) intsqrt(x)(3-5x)\ dx (ii) int((x+1)(x-2))/(sqrt(x))\ d...

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  20. Evaluate: (i) int(x^5+x^(-2)+2)/(x^2)\ dx (ii) int(5\ x^4+12\ x^3+7...

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