1
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{-2}^4\left|2-x^2\right| d x= $$

A

$\frac{8 \sqrt{2}}{3}-3$

B

$\frac{16 \sqrt{2}}{3}+12$

C

$\frac{16 \sqrt{2}}{3}-3$

D

$\frac{8 \sqrt{2}}{3}+12$

2
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_0^{\pi / 4} \frac{1}{5 \cos ^2 x+16 \sin ^2 x+8 \sin x \cos x} d x= $$

A

$\tan ^{-1}\left(\frac{4}{5}\right)$

B

$2 \tan ^{-1}\left(\frac{3}{5}\right)$

C

$\frac{1}{8} \tan ^{-1}\left(\frac{8}{9}\right)$

D

$\frac{1}{4} \tan ^{-1}\left(\frac{7}{8}\right)$

3
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_8^{18} \frac{1}{(x+2) \sqrt{x-3}} d x= $$

A

$\frac{\pi}{6 \sqrt{5}}$

B

$\frac{\pi}{6}$

C

$\frac{\pi}{3}$

D

$\frac{\pi}{3 \sqrt{5}}$

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If [.] denotes the greatest integer function, then $\int_1^2\left[x^2\right] d x=$

A

$5+\sqrt{2}+\sqrt{3}$

B

$5+\sqrt{2}-\sqrt{3}$

C

$5-\sqrt{2}-\sqrt{3}$

D

$5-\sqrt{2}+\sqrt{3}$

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