∫cot x dx = ln |sin x| + C ∫sec x dx = ln |sec x + tan x| + C ∫csc x dx = ln |cosec x - cot x| + C Antiderivative Rules for Inverse Trigonometric Functions We have six main inverse trigonometric functions, namely inverse sine, inverse cosine, inverse tangent, inverse cot...
Find the antiderivative of f ( x ) = x 3 ? 10 . Find the antiderivative. f(x) = 4 csc x cot x - sec x tan x Find the antiderivative F(x) of f(x) = \sqrt[3]x given that F(0) = -1 Find the antiderivative of y = \frac{x + 3}{2}. Find the ant...
Find the antiderivative. f(x) = 4 csc x cot x - sec x tan x Find the antiderivative of f(x) = (x^5 - x^3 + 6x)/(x^4). Find the antiderivative: dy/dx = x - e^x. Find the antiderivative. \int xe^{1-x^2} dx ...
f(x) = 4 csc x cot x - sec x tan x Find the antiderivative. 5x^4-\frac{3}{x^3}-5-\frac{2}{x} Find an antiderivative F ( x ) with F' ( x ) = f ( x ) and F ( 0 ) = 5 . f ( x ) = 24 e 6 x Find the antiderivative. \int xe^{1-x^2} dx Find t...
integral to solve.F(x)=∫(1/(sin(x)))dx Convert from1/(sin(x)) to csc(z)csc()dxT he integral of csc(z) with respect to a isIn(|csc(z)- cot(z)|)In(|csc(z) - cot(z)) + CT he answer is the antiderivative of the functionf()=sin(z)F(x)=ln(|csc|x)-cot(x)|)+...
The integrands having a polynomial function are evaluated using the power rule of anti-derivatives. The mathematical expression for the power rule is as follows: ∫xk dx=xk+1k+1+C Answer and Explanation: 1 Given: P′(x)=−80x2; P(6)=4 Using the concep...