1
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\int e^{x}\left(x^{3}+x^{2}-x+4\right) d x=e^{x} f(x)+c$, then $f(1)=$
A
0
B
1
C
2
D
3
2
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_{\frac{\pi}{5}}^{\frac{3 \pi}{10}} \frac{d x}{\sec ^{2} x+\left(\tan ^{2024} x-1\right)\left(\sec ^{2} x-1\right)}=$
A
$\frac{\pi}{20}$
B
$\frac{2 \pi}{5}$
C
$\frac{3 \pi}{20}$
D
$\frac{3 \pi}{5}$
3
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_{-\pi / 15}^{\pi / 5} \frac{\cos 5 x}{1+e^{5 x}} d x=$
A
$\frac{1}{5}$
B
$\frac{\sqrt{3}}{10}$
C
$\frac{1}{15}$
D
$\frac{1}{10}$
4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The area of the region (in sq units) enclosed by the curves $y=8 x^{3}-1, y=0, x=-1$ and $x=1$ is
A
$\frac{15}{4}$
B
$\frac{15}{8}$
C
$\frac{19}{4}$
D
$\frac{19}{8}$
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