f(x) = sinx Find the antiderivative of the following function. f(x) = cosx What is the antiderivative of the integral of x^(-1/2) sin 4x^(1/2) dx? Find the antiderivative of f(x) = \sin x \cos x. Determine the antiderivative of f(x) = sin (x) cos (x)? Which...
Antiderivative: a class of g(x) such that f(x)dx = d(g(x)), then g(x) is called f(x)'s antiderivative. Integration on the other hand I think is the actual process of taking the antiderivative, or antidifferentiation as sometimes it is called. 16楼2009-04-15 02:29 回复 ...
What is the antiderivative of cosx. Again, people memorize that the antiderivative of cosx is sinx. What's the antiderivative of tan? tan x = - ln|cos x| + C. What are the applications of derivatives? Applications of Derivatives in Maths Finding Rate of Change of a Quantity. Finding the...
Find the antiderivative of: \int \sin (4x) \sin (2x)\ dx. Find the most general antiderivative of the function g(\theta) = \cos \theta - 4 \sin \theta Find the antiderivative of the following function. f(x) = sinx Find the general antiderivative of the given function...
Find the antiderivative of f(x) = fraction {1}{(2x+1)^3} Find antiderivative of: f(x) = fraction {5x^6 - 4}{x^3} Perform the division and then find an antiderivative \int \frac {3x}{x+1} Integrate \frac {sinx}{(sinx+cosx)} dx Integrate: \int_{-1}^1 \frac {x + 1}...
证明arcsinx+arccosx=π/2,并且为什么arcsinx-arccosx=π/2不成立 为了弄清原因,我们结合反三角函数的定义域、值域和图像来进行分析。但我们说这样不成立,为什么?那如何推出正确的结论呢?因此在上述推导过程中, 三角函数 数学 定义域 原创 wx5df643be5259a ...
f(x) = secx Antiderivative: The antiderivative of a function is defined using a constant. This constant is the constant of integration resulting from the indefinite integral. We can only determine the constant when we know the behavior of the antiderivative at a point. ...
Evaluate the indefinite integrals (find the general antiderivatives), and check by differentiating: (a) \int ( \frac{4}{x}-sec^2x)dx (b) \int (x^3-sinx)dx (c) \int ( \frac {tanx}{sec^5x})dx Evaluate the i...
Find antiderivative of the integrand and evaluate the definite integral. \int_{-2}^{2} \frac{2x}{1+x^{2dx Evaluate the indefinite integrals (find the general antiderivatives), and check by differentiating: (a) \int ( \...
Answer to: Verify that F(x) is an antiderivative of the integrand f(x) and use Fundamental Theorem to evaluate the definite integral. \int _0^1 2x...