Statement 1: \int\frac{2\cos x+3\sin x}{4\cos x+5\sin x}dx =-2/41 \log |4\cos x+5\sin x| +23/41x+c Statement 2 : \int\frac{a\cos x+b\sin x}{c\cos x+d\sin x}dx =\frac{ac+bd}{c^2+d^2}x +\frac{ad-bc}{c^2+d^2} \log|c\cos x+d\sin x|+c

Correct Answer is : Statement-1 is true, Statement-2 is hue, Statement-2 is a correct explanation for Statement-1

Statement-1 is true, Statement-2 is hue, Statement-2 is a correct explanation for Statement-1

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

Statement-1 is true, statement-2 is false

Statement-1 is false, Statement-2 is true

AP and TS EAMCET Engineering Model Paper 18

Question : 33 of 160

Marks: +1, -0

Statement 1: ∫

2‌cos‌x+3‌sin‌x

4‌cos‌x+5‌sin‌x

dx =−

‌log|4‌cos‌x+5‌sin‌x| +

x+c
Statement 2 : ∫

a‌cos‌x+b‌sin‌x

c‌cos‌x+d‌sin‌x

dx =

ac+bd

c2+d2

x +

ad−bc

c2+d2

log|c‌cos‌x+d‌sin‌x|+c

Statement-1 is true, Statement-2 is hue, Statement-2 is a correct explanation for Statement-1
Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
Statement-1 is true, statement-2 is false
Statement-1 is false, Statement-2 is true

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