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Question

Question: \(\sec x - \text{cosec}x + c\)...

sec⁡x−cosecx+c\sec x - \text{cosec}x + c

A

∫(cos⁡x2−sin⁡x2)2dx=\int_{}^{}{\left( \cos\frac{x}{2} - \sin\frac{x}{2} \right)^{2}dx =}

B

x+cos⁡x+cx + \cos x + c

C

2cos⁡2x2+c2\cos^{2}\frac{x}{2} + c

D

13(cos⁡x2−x2)3+c\frac{1}{3}\left( \cos\frac{x}{2} - \frac{x}{2} \right)^{3} + c

Answer

∫(cos⁡x2−sin⁡x2)2dx=\int_{}^{}{\left( \cos\frac{x}{2} - \sin\frac{x}{2} \right)^{2}dx =}

Explanation

Solution

12sin⁡x4−sin⁡2x+sin⁡−1(12sin⁡x)+c\frac{1}{2}\sin x\sqrt{4 - \sin^{2}x} + \sin^{- 1}\left( \frac{1}{2}\sin x \right) + c

∫x2(3)x3+1dx=\int_{}^{}{x^{2}(3)^{x^{3} + 1}dx =}