Class XII Maths Exercise 7

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Questions and Answers

What is the antiderivative of $cos 3x$?

$3cos 3x + C$
$\frac{1}{3}cos 3x + C$
$\frac{1}{3}sin 3x + C$ (correct)
$3sin 3x + C$

What is the antiderivative of $sin 2x$?

$2sin 2x + C$
$2cos 2x + C$
$-\frac{1}{2}cos 2x + C$ (correct)
$-\frac{1}{2}sin 2x + C$

What is the antiderivative of $2x$?

$x^2 + 1 + C$
$2x^2 + C$
$x^2 + C$
$x^2 + Cx$ (correct)

What is the antiderivative of $e^{2x}$?

$e^{2x} + C$ (A) Signup and view all the answers

Find the antiderivative of $sin(2x)$.

The antiderivative of $sin(2x)$ is $-rac{1}{2}cos(2x) + C$, where $C$ is the constant of integration. Signup and view all the answers

What is the antiderivative of $3x^2$?

$x^3 + C$ (B) Signup and view all the answers

What is the antiderivative of $cos(3x)$?

The antiderivative of $cos(3x)$ is $rac{1}{3}sin(3x) + C$, where $C$ is the constant of integration. Signup and view all the answers

Determine the antiderivative of $e^{2x}$.

The antiderivative of $e^{2x}$ is $rac{1}{2}e^{2x} + C$, where $C$ is the constant of integration. Signup and view all the answers

What is the antiderivative of $f(x)$?

The antiderivative of $f(x)$ cannot be determined without knowing the function $f(x)$. Therefore, the antiderivative of $f(x)$ cannot be found. Signup and view all the answers

Calculate the antiderivative of $g(x)$.

The antiderivative of $g(x)$ cannot be determined without knowing the function $g(x)$. Therefore, the antiderivative of $g(x)$ cannot be found. Signup and view all the answers

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