Mathematics

If $$\int {{{1 - 5{{\sin }^2}x} \over {{{\cos }^5}x{{\sin }^2}x}}} dx = {{f\left( x \right)} \over {{{\cos }^5}x}} + C$$ , then $$f\left( x \right)$$ is 


ANSWER

$$ - \cot x$$


SOLUTION

View Full Answer

Its FREE, you're just one step away


Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
The value of $$\int  log  x  dx$$ is
  • A. $$x^2 log x + c$$
  • B. $$e^x log x + c$$
  • C. $$(x + 1) log x + c$$
  • D. $$\displaystyle x log \left ( \frac{x}{e} \right ) + c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
Value of the integral $$\displaystyle \int { \cfrac { x^{ 2 }+5x-1 }{ \sqrt { x }  }  } dx$$ is
  • A. $$\cfrac { 2 }{ 5 } { x }^{ 5/2 }+\cfrac { 2 }{ 3 } 5{ x }^{ 1/2 }-2{ x }^{ 1/2 }+C$$
  • B. $$\cfrac { 3 }{ 5 } { x }^{ 5/2 }+\cfrac { 2 }{ 3 } 5{ x }^{ 1/2 }-2{ x }^{ 1/2 }+C$$
  • C. $$\cfrac { 2 }{ 5 } { x }^{ 5/2 }+\cfrac { 2 }{ 3 } 5{ x }^{ 1/2 }-2{ x }^{ 1/2 }$$
  • D. $$\cfrac { 2 }{ 5 } { x }^{ 5/2 }+\cfrac { 2 }{ 3 } 5{ x }^{ 3/2 }-2{ x }^{ 1/2 }+C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Find the partial fraction
$$\dfrac { 2x+1 }{ \left( 3x+2 \right) \left( 4{ x }^{ 2 }+5x+6 \right)  }$$.

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
Evaluate: $$\displaystyle \int x^{x}(1 + \log x)dx$$
  • A. $$x^{-x} + x$$
  • B. $$x \log x + x$$
  • C. $$\log x + x$$
  • D. $$x^{x} + C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
$$\int { x\tan ^{ 2 }{ x }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer