Indefinite Integrals (Calculus)

Here we have the indefinite integrals of the basic trigonometric functions and the general formula for integration. When typing in the response, do not include the arbitrary constant 'c'. When typing in a response of a function with respect to 'x', express it as such: sine of x = sin(x) or sinx. Express powers as such: x to the second power = x^2. Express fractions as such: 1 over x = 1/x or x^-1.

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Last updated: April 18, 2023

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First submitted	April 18, 2023
Times taken	102
Average score	56.3%
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Hint	Answer
∫ k dx	kx
∫ x^p dx	x^p/p+1
∫ cos(x) dx	sin(x)
∫ sin(x) dx	-cos(x)
∫ sec^2(x) dx	tan(x)
∫ csc^2(x) dx	-cot(x)
∫ sec(x)tan(x) dx	sec(x)
∫ csc(x)cot(x) dx	-csc(x)
∫ sec(x) dx	ln(sec(x)+tan(x))
∫ csc(x) dx	-ln(csc(x)+cot(x))
∫ x^-1 dx	ln(x)
∫ e^x dx	e^x
∫ (1+x^2)^-1 dx	tan^-1(x)
∫ (1-x^2)^-1/2 dx	sin^-1(x)
∫ (x^-1)(x^2-1)^-1/2 dx	sec^-1(x)
∫ f(ax) dx	(1/a)(F(ax))

1 Comments

Level 53

Mar 28, 2024

Integral of x^p dp is not x^p/p+1. Its x^(p+1)/(p+1)

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