trig integral ∫sin^5(x) dx

OSU Math 1151 Practice3: Compute the derivative.

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: integral ∫ log √x(x^n) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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2 ways: derivative ln(ax-b)^(p-qx)

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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UT Austin: integral ∫(1+sin^(x-1)) sin(x-1) cos(x-1) dx

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"baby" fact: exp e^(ix)

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2nd/10parts: Logical complement

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1st/3ways: trig integral ∫sec(x) dx

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Careful: arc sin(sin(5π/4)) ≠ ...

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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exp log derivative Know the differences ...

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trig Prove each identity ... 1) to 10)

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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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Alternate way: integral ∫ax+b dx

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examples 2x2 matrix withOUT an inverse

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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