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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd way: integral ∫1/cos(ax/2) dx
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3 ways: sum Show 1+3+5+...nth term = n^2
Screen Recording 2024-05-18 at 10.18.13 PM
2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
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2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
3 ways: Derivative x^(-1/x)
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Mohammad Ali Jinnah University: Integrate the followings.
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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx
trig Show 1/(1-sin(x)) + 1/(1+sin(x)) = 2 sec^2(x)
3 ways: rational function integral ∫2x/(x+1)^2 dx
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Screen Recording 2024-05-19 at 9.45.17 PM
2 ways: Find the derivative y=x^n logb(x)
3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx
Alternate way exp derivative (logf(x)(g(x)))^a
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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
2 ways: exp integral ∫(p^x + q^x)/r^x dx