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∫ s e c 2 x d x = t a n x + C \int sec^2x dx =tanx + C ∫sec2xdx=tanx+C
∫ c s c 2 x d x = c o t x + C \int csc^2x dx =cotx + C ∫csc2xdx=cotx+C
∫ s e c x d x = l n ∣ s e c x + t a n x ∣ + C \int secxdx = ln|secx+tanx|+C ∫secxdx=ln∣secx+tanx∣+C
∫ c s c x d x = l n ∣ c s c x − c o t x ∣ + C \int cscxdx = ln|cscx-cotx|+C ∫cscxdx=ln∣cscx−cotx∣+C
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\int secxtanxdx=\int \frac{sinx}{cos^2x}dx=secx+C
∫secxtanxdx=∫cos2xsinxdx=secx+C
∫ c s c x c o t x d x = ∫ c o s x s i n 2 x d x = c s c x + C \int cscxcotxdx=\int \frac{cosx}{sin^2x}dx=cscx+C ∫cscxcotxdx=∫sin2xcosxdx=cscx+C
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\int \frac{1}{\sqrt{a^2-x^2}}dx=arcsin\frac{x}{a}+C
∫a2−x2
1dx=arcsinax+C
∫ 1 a 2 + x 2 d x = 1 a a r c t a n x a + C \int \frac{1}{a^2+x^2}dx=\frac{1}{a}arctan\frac{x}{a}+C ∫a2+x21dx=a1arctanax+C
∫ 1 x 2 + a 2 d x = l n ( x + x 2 + a 2 ) + C \int \frac{1}{\sqrt{x^2+a^2}}dx=ln(x+\sqrt{x^2+a^2})+C ∫x2+a2 1dx=ln(x+x2+a2 )+C
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\int \frac{1}{\sqrt{x^2-a^2}}dx=ln|x+\sqrt{x^2-a^2}|+C
∫x2−a2
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\int \frac{1}{x^2- a^2}dx=\frac{1}{2a}ln|\frac{x-a}{x+a}|+C
∫x2−a21dx=2a1ln∣x+ax−a∣+C
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\int \sqrt{a^2-x^2}dx=\frac{a^2}{2}arcsin\frac{x}{a}+\frac{1}{2}x\sqrt{a^2-x^2}+C
∫a2−x2
dx=2a2arcsinax+21xa2−x2
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