Statement II f (d/d x)(- operatornamecosec x)= operatornamecosec x cot x, then ∫ operatornamecosec x cot x d x=- operatornamecosec x+C Statement II If we know the formulae for the derivative of many important functions, then we can write down the corresponding formulae for the integrals of these functions.

Question

Statement II f (d/d x)(- operatornamecosec x)= operatornamecosec x cot x, then ∫ operatornamecosec x cot x d x=- operatornamecosec x+C Statement II If we know the formulae for the derivative of many important functions, then we can write down the corresponding formulae for the integrals of these functions. (A) Statement I is true; statement II is true; statement II is a correct explanation for statement I (B) Statement I is true; statement II is true; statement II is not a correct explanation for statement I (C) Statement I is true; statement II is false (D) Statement I is false; statement II is true

Tardigrade Admin · Accepted Answer

It is correct to say that we can write the corresponding formulae tor the integrals of the functions it we know the formulae of its derivatives.

∴ If \frac{d}{d x} (- cosec x) = cosec x cot x, then

\int cosec x cot x d x = - cosec x + C

Q. Statement II f dxd​(−cosecx)=cosecxcotx, then ∫cosecxcotxdx=−cosecx+C Statement II If we know the formulae for the derivative of many important functions, then we can write down the corresponding formulae for the integrals of these functions.

Statement I is true; statement II is true; statement II is a correct explanation for statement I

Statement I is true; statement II is true; statement II is not a correct explanation for statement I

Statement I is true; statement II is false

Statement I is false; statement II is true

It is correct to say that we can write the corresponding formulae tor the integrals of the functions it we know the formulae of its derivatives. ∴ If dxd​(−cosecx)=cosecxcotx, then ∫cosecxcotxdx=−cosecx+C

Q. Statement II f $\frac{d}{d x} (- cosec x) = cosec x cot x$ , then $\int cosec x cot x d x = - cosec x + C$
Statement II If we know the formulae for the derivative of many important functions, then we can write down the corresponding formulae for the integrals of these functions.

It is correct to say that we can write the corresponding formulae tor the integrals of the functions it we know the formulae of its derivatives.
$∴ If \frac{d}{d x} (- cosec x) = cosec x cot x, then$
$\int cosec x cot x d x = - cosec x + C$