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`int(dx)/(sin^(2)cos^(2)x)` बराबर है :A. `tanx+cot x+C`B. `tanx-cotx+C`C. `tanx cot x+C`D. `tanx-cot 2x+C` |
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Answer» Correct Answer - B `int(dx)/(sin^(2)cos^(2)x)` `=int(sin^(2)x+cos^(2)x)/(sin^(2)x cos^(2)x)dx` `=int(sin^(2)x)/(sin^(2)cos^(2)x)dx+int(cos^(2)x)/(sin^(2)xcos^(2)x)dx` `=intsec^(2)x dx + int"cosec"^(2)xdx` `=tanx - cot x+c` |
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