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Question

Question: \[a + b + cx^{2} + k\]...

a+b+cx2+ka + b + cx^{2} + k

A

12ax2+13bx3+14cx4+k\frac{1}{2}ax^{2} + \frac{1}{3}bx^{3} + \frac{1}{4}cx^{4} + k

B

∫dxsin⁡x+3cos⁡x=\int_{}^{}\frac{dx}{\sin x + \sqrt{3}\cos x} =

C

logtan(x2+π2)+c{logtan}\left( \frac{x}{2} + \frac{\pi}{2} \right) + c

D

12logtan(x2+π6)+c\frac{1}{2}{logtan}\left( \frac{x}{2} + \frac{\pi}{6} \right) + c

Answer

12logtan(x2+π6)+c\frac{1}{2}{logtan}\left( \frac{x}{2} + \frac{\pi}{6} \right) + c

Explanation

Solution

3(tan⁡x)−1/3+c3(\tan x)^{- 1/3} + c

(tan⁡x)−1/3+c(\tan x)^{- 1/3} + c

∫cos⁡5x 6mudx=\int_{}^{}{\cos^{5}x\mspace{6mu} dx =}