1
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f\left(\frac{2 x+3}{3 x+5}\right)=x+4, x \neq \frac{-5}{3}, \frac{2}{3}$ and $\int f(x) d x=A x+B \ln |3 x-2|+C$, then $3 B-A=$

A

$\frac{64}{9}$

B

$\frac{-52}{21}$

C

$\frac{-10}{3}$

D

$\frac{-8}{3}$

2
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\int e^x\left(\frac{x^2-8 x+19}{(x-1)^5}\right) d x=\frac{e^x(l x+m)}{(x-1)^4}+C$, then $4 l+m=$

A

-5

B

-2

C

1

D

0

3
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{d x}{(x-2) \sqrt{x^2-3 x+5}}= $$

A

$\frac{-1}{\sqrt{3}} \cosh ^{-1}\left[\frac{7 x-8}{\sqrt{37}(x-2)}\right]+C$

B

$\frac{-1}{\sqrt{3}} \sinh ^{-1}\left[\frac{x+4}{\sqrt{11}(x-2)}\right]+C$

C

$\frac{-1}{\sqrt{3}} \cosh ^{-1}\left[\frac{x+4}{\sqrt{11}(x-2)}\right]+C$

D

$\frac{-1}{\sqrt{3}} \sinh ^{-1}\left[\frac{7 x-8}{\sqrt{37}(x-2)}\right]+C$

4
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $5(f(x))^2=x f(x)+30$ and

$$ \begin{aligned} & \int \frac{\left(3 x^3+\left(1-30 x^2\right) f(x)\right)}{(10 f(x)-x)\left(x^3-f(x)\right)^2} d x \\ & =\frac{A}{B x^3+D f(x)}+C \text { then } A+B+D= \end{aligned} $$

A

2

B

1

C

$\frac{1}{2}$

D

-1

TS EAMCET Subjects

Browse all chapters by subject