2414 1 03:41 App 求不定积分 Integral of (x e^(2 x))/(4 x^2 + 4 x + 1) dx 1.1万 8 03:46 App 求不定积分∫sec^3 x dx 7269 10 06:13 App 求不定积分 Integral of Power[tanx, (3)^-1] dx 8.8万 88 06:36 App 求解微分方程 y'y''=y''' 2709 0 03:40 App 求不定积...
dear anitha it will become integral{(tan(x))^2}dx integral {(tan(x))^2}dx = integral {(sec(x))^2 - 1}dx [since tan^2(x)+1=sec^2(x)] = 1/2( tan(x)) -1 [integral{sec^2(x)=tanx] Please feel free to ask your queries here. We are all IITians and here to help y...
Integral Calculator 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-...
∫sec2(3x)dx Apply u-substitution:∫sec2(u)⋅3du =∫sec2(u)⋅3du Take the constant out:∫a⋅f(x)dx=a⋅∫f(x)dx=3⋅∫sec2(u)du Use the common integral:∫sec2(u)du=tan(u)=3tan(u) Substitute backu=3x=3tan(3x) ...
{eq}\displaystyle \int \frac{\sec^2\ t}{1 + \tan\ t}\ dt {/eq} {eq}U{/eq}-Substitution: {eq}U{/eq}-substitution, or method of substitution, is a technique used in computing integrals of functions. In this method, a new variable is introduced into the integrand so the resultin...
Evaluate the integral:∫sec2(θ)dθ Question: ∫sec2(θ)dθ Indefinite Integral: If the integral off(x)isF(x)+Ci.e.∫f(x)dx=F(x)+Cthen this integral is known as indefinite integral. We have to add constant of integration in case of indefinite integral as indefinite integral...
Evaluate the∫sec22θdθ4+tan2θ. Indefinite Integral: By integrating a function, we can find the primitive function. It is also used to find the area bounded by a curve in a given interval. To find the integral of a compoensite function, we apply the technique of u-su...
Therefore,∫sinxcosxdx=sin2x2+constant This integration tool will often make complicated integrals much easier to approach. Answer and Explanation:1 ∫sec2xtan2x9−tan2xdx To simplify this integral, we can use a substitution where: {eq}u = \tan... ...
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...
The integral int(sec^2x)/(3+4tan x)dx 01:02 int(sec^(2)x)/((tan^(3)x+4tan x)dx) 03:39 int(sec^(2)x)/(3+4tan x)dx 00:52 निम्नलिखित समाकलों (Integrals) का मान ज्ञात कीजिए- (a)...