(∫ (sec)(x)+(tan)(x)dx) 相关知识点: 试题来源: 解析 Split the single integral into multipleintegrals. (∫ (sec)(x)dx+∫ (tan)(x)dx) The integral of ( (sec)(x)) with respect to ( x) is ( (ln)(|(sec)(x)+(tan)(x)|)). ( (ln)(|(sec)(x)+(tan)(x)|)+C+∫...
Integral of sec(x)*tan(x) by x: 1/cos(x)+C To compute the integral of sec(x) * tan(x) with respect to x, follow these steps: 1.Identify the integral: We want to compute the integral 2.Recall the derivative: Recognize that the derivative of sec(x) is sec(x) * tan(x). Th...
Find the integral. \int\frac{1}{x^3 - 1} dx Find the integral of (7/4 x^5 + 6)^5 x^4 dx. Find the integral of \int_{-3}^0 1+(9-x^2)^{\frac{1}{2 dx. Find the integral of (sec 3x tan 3x) dx. Find the integral: Integral_{-3}^{0} f(x) dx ...
The definite integration gives the exact area under the curve by using the function of the curve. Some formulas of the integration are as follows: $$\begin{align} \int \cos x \cdot dx &= \sin x+ c \\[0.2cm] \int \sec^{2} x \cdot dx &= \tan x +c \\[0.2cm] \int \sin...
Evaluate the integral: integral of sec x tan x sqrt(1 + sec x) dx. Evaluate the integral \int \sqrt{1 - 36x^2}dx using trig sub. Evaluate the integrals d) \int (x^3 -3\sqrt x + x^{\frac{-5}{4)dx e) \int (\sin(7y)+\cos(9y))dy f) \int (2\sec x \tan x +3...
Also, we will be using the derivative of the tangent trig function. d(tanx)dx=sec2x Answer and Explanation:1 ∫tan(3x)sec2(3x)etan2(3x)dx. First we will perform ausubstitution. {eq}\displaystyle{ u = \tan^23x\du... ...
Integral of sec(x)^2 by x: tan(x)+C To compute the integral of sec(x)^2 with respect to x, follow these steps: 1.Identify the integral: We want to compute the integral ∫ sec(x)^2 dx. 2.Recall the antiderivative: The antiderivative of sec(x)^2 is a well-known result. It ...
Calculate the Integral of … CLR+–×÷^√f(x)π() √3√4√n√ You can also input: •sqrt(…) •root(n, …) lnlog10lognexpexabs|x| sincostancscseccot arcsinsin-1arccoscos-1arctantan-1 arccsccsc-1arcsecsec-1arccotcot-1 ...
哈哈,第二个积分目测就能看出答案,第一个确实有点困难。up出这个对比应该是想表达,两个不定积分形式上虽然有点像,但是实际上结果差异是很大的。 2022-01-22 17:023回复 故事说给枕头听- 第一题分子分母同除cos²x,分子凑微分dtanx,分母sec²x利用三角恒等式化为tan²x+1分母就是2tan²x+1然后套...
List of Integral Formulas The list of basic integral formulas are ∫ 1 dx = x + C ∫ a dx = ax+ C ∫ xndx = ((xn+1)/(n+1))+C ; n≠1 ∫ sin x dx = – cos x + C ∫ cos x dx = sin x + C ∫ sec2x dx = tan x + C ...