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  • Evaluate the integral of <img alt="\int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cint%5Cleft%20%28%204sin%5C%20x&plus;3co

Evaluate the integral of \int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx

Option: 1

-4cos\ x+3sin\ x-2tan\ x+C


Option: 2

4cos\ x+3sin\ x-2tan\ x+C


Option: 3

4cos\ x+3sin\ x+2tan\ x+C


Option: 4

4cos\ x-3sin\ x-2tan\ x+C


Answers (1)

best_answer

Given integral,

\int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx

\int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx=\int 4sin\ x\ dx+\int 3cos\ x\ dx-\int 2sec^{2}x\ dx

\int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx=4\int sin\ x\ dx+3\int cos\ x\ dx-2\int sec^{2}x\ dx

\int\left ( 4sin\ x+3cos\ x-2sec^{2}x \right )dx=-4cos\ x+3sin\ x-2tan\ x+C

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Shailly goel

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