मराठी

∫ ( Sec 2 X + C O S E C 2 X ) D X - Mathematics

Advertisements
Advertisements

प्रश्न

\[\int\left( \sec^2  x + {cosec}^2  x \right)  dx\]
बेरीज

उत्तर

\[\int\left( \sec^2 x + {cosec}^2 x \right)dx\]
\[ = \int \sec^2\text{ x    dx} + \int {cosec}^2\text{ x  dx}\]
\[ = \tan x - \cot x + C\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Indefinite Integrals - Exercise 19.02 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
पाठ 19 Indefinite Integrals
Exercise 19.02 | Q 22 | पृष्ठ १५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

\[\int\left\{ \sqrt{x}\left( a x^2 + bx + c \right) \right\} dx\]

\[\int\frac{\cos x}{1 + \cos x} dx\]

\[\int\frac{1}{\left( 7x - 5 \right)^3} + \frac{1}{\sqrt{5x - 4}} dx\]

Integrate the following integrals:

\[\int\text { sin  x  cos  2x     sin 3x   dx}\]

\[\int\frac{1 - \cot x}{1 + \cot x} dx\]

\[\int\frac{\sin 2x}{\left( a + b \cos 2x \right)^2} dx\]

\[\int\sqrt {e^x- 1}  \text{dx}\] 

\[\int\frac{\sin^5 x}{\cos^4 x} \text{ dx }\]

\[\int\left( 2 x^2 + 3 \right) \sqrt{x + 2} \text{ dx  }\]

\[\int \cot^6 x \text{ dx }\]

\[\int\frac{1}{\sqrt{1 + 4 x^2}} dx\]

 


\[\int\frac{1}{\sqrt{\left( 2 - x \right)^2 - 1}} dx\]

\[\int\frac{x^2}{x^6 + a^6} dx\]

\[\int\frac{1}{\sqrt{3 x^2 + 5x + 7}} dx\]

\[\int\frac{1}{\sqrt{7 - 3x - 2 x^2}} dx\]

`  ∫ \sqrt{"cosec x"- 1}  dx `

\[\int\frac{\left( 3 \sin x - 2 \right) \cos x}{5 - \cos^2 x - 4 \sin x} dx\]

\[\int\frac{x^2 + 1}{x^2 - 5x + 6} dx\]

\[\int\frac{x}{\sqrt{x^2 + 6x + 10}} \text{ dx }\]

\[\int\frac{\cos x}{\cos 3x} \text{ dx }\]

\[\int\frac{1}{3 + 2 \sin x + \cos x} \text{ dx }\]

\[\int\frac{1}{1 - \tan x} \text{ dx }\]

\[\int \sin^{- 1} \left( 3x - 4 x^3 \right) \text{ dx }\]

\[\int x \sin^3 x\ dx\]

\[\int e^x \sec x \left( 1 + \tan x \right) dx\]

\[\int\sqrt{x^2 - 2x} \text{ dx}\]

\[\int\left( 4x + 1 \right) \sqrt{x^2 - x - 2} \text{  dx }\]

\[\int\frac{x^2 + x - 1}{x^2 + x - 6} dx\]

\[\int\frac{x^3}{\left( x - 1 \right) \left( x - 2 \right) \left( x - 3 \right)} dx\]

\[\int\frac{2x}{\left( x^2 + 1 \right) \left( x^2 + 3 \right)} dx\]

\[\int\frac{x^2 + x + 1}{\left( x + 1 \right)^2 \left( x + 2 \right)} dx\]

\[\int\frac{1}{x \left( x^4 - 1 \right)} dx\]

\[\int\frac{x^2 - 3x + 1}{x^4 + x^2 + 1} \text{ dx }\]

\[\int\frac{1}{\left( x - 1 \right) \sqrt{2x + 3}} \text{ dx }\]

\[\int\frac{x^2}{\left( x - 1 \right) \sqrt{x + 2}}\text{  dx}\]

\[\int\frac{1}{1 + \tan x} dx =\]

\[\int\frac{1}{e^x + 1} \text{ dx }\]

\[\int\frac{1}{1 - x - 4 x^2}\text{  dx }\]

\[\int\frac{1}{\sin^2 x + \sin 2x} \text{ dx }\]

\[\int \tan^3 x\ \sec^4 x\ dx\]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×