Asked by Kris
sec^2(x)tan(x)
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Do you want to simplify, differentiate, or integrate this expression? Common results:
- Simplified: sec^2(x) tan(x) = tan(x) sec^2(x) = sin(x)/cos^3(x).
- Integral: ∫ sec^2(x) tan(x) dx. Let u = tan x, du = sec^2 x dx, so
∫ u du = 1/2 u^2 + C = 1/2 tan^2(x) + C.
- Derivative: d/dx[sec^2(x) tan(x)] = 2 sec^2(x) tan^2(x) + sec^4(x) = sec^2(x)(1 + 3 tan^2(x)).
Tell me which one you wanted (or something else).
- Simplified: sec^2(x) tan(x) = tan(x) sec^2(x) = sin(x)/cos^3(x).
- Integral: ∫ sec^2(x) tan(x) dx. Let u = tan x, du = sec^2 x dx, so
∫ u du = 1/2 u^2 + C = 1/2 tan^2(x) + C.
- Derivative: d/dx[sec^2(x) tan(x)] = 2 sec^2(x) tan^2(x) + sec^4(x) = sec^2(x)(1 + 3 tan^2(x)).
Tell me which one you wanted (or something else).
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