Find the antiderivative of f(t)=3t−2t2. Integration Rules: We will need a handful of integration rules to find the antiderivative of the given function. These are the sum/difference rule for integrals and the integral power rule, which are given respectively by the following for...
Find an antiderivative of the following function: f ( x ) = x 4 + x 3 + x x 4 Find an antiderivative of the following function: p(y) = 4/y + 3y +1 Find an antiderivative of the following function: g(x) = sec^2(x)+3sin(x) Fi...
f(x)=2x2+x+6x,f(1)=3 Antiderivatives: The indefinite integrals, also known as the antiderivatives came into existence in the1700s. They are just the reverse of the derivatives. We usually see the applications of the antiderivatives while evaluating the definite integrals becau...
Find antiderivative of x arctan x dx. (A) Evaluate \int \csc x dx using the substitution u = \csc x + \cot x. Find the antiderivative of the function: f(x) = e^2 - 3x^2 + \sin x Find the antiderivative F of f(t) = \sec^2t, where F...
Find the antiderivative of the following function. f(x) = 1/x Find an antiderivative of the following function: f ( x ) = x 4 + x 3 + x x 4 Find an antiderivative of the following function: g(x) = sec^2(x)+3sin(x) Find the antiderivative of the following function. f...
Find the antiderivative F(x) of f(x) = 12 - \pi(\sin(x)) + 17\cos(x), given F(0) = 3 \pi. Find the antiderivative of the function. g(x) = 12/x + 6/x^2 + 5/x^3 Find the antiderivative of the function: f(x) = \frac{1}{x^2} + x ...
Find an antiderivative of the following function: g(x) = \sec^2(x) + 3\sin(x) Find the most general antiderivative of the following function: f(x) = \sqrt{2}. Find the general antiderivative of the following function: f(t) = 2t^3 - 6t + 1 ...
Find the general antiderivative of the following function: f(t) = 2t^3 - 6t + 1 Find the general antiderivative of the following function. f\left( x \right) = x + \sqrt x + {1 \over x} Find the antiderivative F(x) of f(x) = 12 - \pi(\sin(x)) + 17\cos...
Find an antiderivative of the following function: g(x) = sec^2(x)+3sin(x) Find an antiderivative of the following function: f ( x ) = x 4 + x 3 + x x 4 Find the antiderivative of the following function. f(x) = \frac{1}{1 - x^2} Find ...
Antiderivative of a Function:Differentiation and integration are inverse processes of each other. The antiderivative of a function refers to the family of curves that are obtained by integrating the function. Knowing the initial conditions of the function allow ...