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1
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$\int \frac{1}{\sqrt{3-6 x-9 x^2}} d x$ is equal to
A
$\sin ^{-1}\left(\frac{3 x+1}{2}\right)+C$
B
$\sin ^{-1}\left(\frac{3 x+1}{6}\right)+c$
C
$\frac{1}{3} \sin ^{-1}\left(\frac{3 x+1}{2}\right)+C$
D
$\sin ^{-1}\left(\frac{2 x+1}{3}\right)+C$
2
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$\int e^{\sin x} \cdot\left(\frac{\sin x+1}{\sec x}\right) d x$ is equal to
A
$\sin x \cdot e^{\sin x}+C$
B
$\cos x \cdot e^{\sin x}+C$
C
$e^{\sin x}+C$
D
$e^{\sin x}(\sin x+1)+C$
3
KCET 2017
MCQ (Single Correct Answer)
+1
-0

$$ \int \sqrt{x^2+2 x+5} d x \text { is equal to } $$

A

$$\frac{1}{2}(x+1) \begin{aligned} & \sqrt{x^2+2 x+5}+2 \log \mid x+1+ \sqrt{x^2+2 x+5 \mid}+C \end{aligned} $$

B

$\left.(x+1) \sqrt{x^2+2 x+5}+\frac{1}{2} \log \right\rvert\, x+1+\sqrt{x^2+2 x+5}+C $

C

$(x+1) \sqrt{x^2+2 x+5}+2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $

D

$(x+1) \sqrt{x^2+2 x+5}-2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $

4
KCET 2017
MCQ (Single Correct Answer)
+1
-0
$\int \frac{(x+3) e^x}{(x+4)^2} d x$ is equal to
A
$\frac{e^x}{(x+4)^2}+C$
B
$\frac{e^x}{(x+3)}+C$
C
$\frac{1}{(x+4)^2}+C$
D
$\frac{e^x}{(x+4)}+C$
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Organic Chemistry
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Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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