1
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $x>0$ and $x \neq(2 n+1) \frac{\pi}{2}$, then $\int\left(x \sqrt{x}-e^{\log (\sec x \tan x)}+\frac{3 x^2-2 x+1}{x^2}\right) d x=$

A

$x \sqrt{x}-\sec x+3 x-2 \log x-\frac{1}{x}+c$

B

$\frac{2}{5} x^2 \sqrt{x}-\sec x+3 x+\frac{2}{x^2}-\frac{1}{x}+c$

C

$x \sqrt{x}-\sec x+3 x+\frac{2}{x^2}-\frac{1}{x}+c$

D

$\frac{2}{5} x^2 \sqrt{x}-\sec x+3 x-2 \log x-\frac{1}{x}+c$

2
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A

$\frac{2}{135}\left(54 x^2-123 x+106\right) \sqrt{3 x+2}+c$

B

$\frac{2}{135}\left(54 x^2+123 x-106\right) \sqrt{3 x+2}+c$

C

$\frac{2}{135}\left(54 x^2-123 x-106\right) \sqrt{3 x+2}+c$

D

$\frac{2}{135}\left(54 x^2-195 x-106\right) \sqrt{3 x+2}+c$

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

If $\int \frac{(x-1) d x}{(x+1) \sqrt{x^3+x^2+x}}=A \cdot \tan ^{-1} \sqrt{f(x)}+$ constant, then the ordered pair $(A, f(-1))=$

A

$(2,1)$

B

$(2,-1)$

C

$(1,2)$

D

$(-2,2)$

4
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

$\frac{-8}{3}$

TS EAMCET Subjects

Browse all chapters by subject