Download App

Indefinite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsIndefinite Integration1 Mark
Question
Evaluate:

$\int \frac{\sin 2 x}{\cos x} \cdot d x$

✓

Answer

$\begin{aligned} \int \frac{\sin 2 x}{\cos x} d x & =\int \frac{2 \sin x \cos x}{\cos x} d x \\ & =2 \int \sin x d x \\ & =-2 \cos x+c .\end{aligned}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following questions in short." from Indefinite Integration→Indefinite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Check the validity of the Rolle’s theorem for the following functions.

$f(x)=\sin x-\cos x+3, x \in[0,2 \pi]$

→
Write the truth values of the following :24 is a composite number or 17 is a prime number.
→
Form the differential equation of family of standard circle
→
In $\triangle ABC$, prove that $a (\sin B -\sin C )+ b (\sin C -\sin A )+ c (\sin A -\sin B )=0$
→
Solve the following differential equations.

$y-x \frac{d y}{d x}=0$

→
Using rules of negation write the negations of the following with justification. (~ p ∨ ~q) ∨ (p ∧ ~q)
→
Evaluate:
$\int \sin 4 x \cos 3 x d x$
→
Evaluate the following functions : $\int \frac{e^x(1+x)}{\cos \left(x \cdot e^x\right)} \cdot d x$
→
Write the negations of the following.$Ɐ n \in N, n^2 + n + 2$ is divisible by $4$.
→
$A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]$ then find $A^{-1}$
→