1
KCET 2026
MCQ (Single Correct Answer)
+1
-0
$\int\limits_{a-6}^{b-6} f(x + 6)\,dx$ is equal to
A
$\int\limits_{a}^{b} f(x + 6)\,dx$
B
$\int\limits_{a}^{b} f(x - 6)\,dx$
C
$\int\limits_{a}^{b} f(x)\,dx$
D
$-\int\limits_{a}^{b} f(x)\,dx$
2
KCET 2026
MCQ (Single Correct Answer)
+1
-0
One of the possible functions $f(x)$ which satisfies $\int\limits_{-2}^{2} f(x)\,dx = 0$ is
A
$\log\left(\dfrac{2 - x}{2 + x}\right)$
B
$\sin(2 - x)$
C
$3x^2 - 2x + 1$
D
$2x\tan x$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The value of $\int_{-1}^1 \sin ^5 \mathrm{x} \cos ^4 \mathrm{xdx}$ is

A
$-\pi / 2$
B
$\pi$
C
$\pi / 2$
D
0
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \int_0^{2 \pi} \sqrt{1+\sin \left(\frac{x}{2}\right)} d x \text { is } $$

A
8
B
4
C
2
D
2

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