Find the indefinite integral. \int e^{\textrm{sin}\;x}\textrm{cos}\;x\;dx Find the indefinite integral: \int \frac{\sqrt{144x^2+49{x^4}dx Find the indefinite integral. \int \frac{1}{\sqrt{2x-x^2dx Find the indefinite integral \int 7 sec^2 x e^{\tan x} \ dx. ...
What is the integral of (\sin x + \cos x)^2 from -\pi to \pi? What is the integral 7x^9/25+x^{10} dx? Evaluate the integrals. A) Integral of (dx)/(2*sqrt(x) + 2x). B) Integral of tan(x) ln(cos(x)) dx.
Evaluate the integrals. (a) \int_{0}^{1} (3x^3-5) cosx dx (b) \int_{0}^{e-1} ln(x+1) dx Evaluate the indefinite integral. Integral of (cos x)/(sin^2 x) dx. Evaluate the indefinite integral. (Use C for the constant of integration.) Integral of (...
Evaluate the integral. integral_0^{pi / 2} cos x / sin^2 x dx. Evaluate the integral. \int_{0}^{\pi/2} \frac{\cos (t)}{ \sqrt{1 + \sin^2 (t) dt Evaluate the integral. sin^2 (3x) cos (3x) dx Calculate the integral. int sin^2 theta cos^3 theta d theta ...
Equation (1) => ∫ sin 3x dx+ ∫ 2x dx = -cos(3x)/3 + x2+ C 5,177 Video Lesson on Advanced Questions of Calculus 4,889 Practice Questions Differentiate f(x) = 6x3– 9x + 4 Differentiate f(x) = x3– 2x2+ x – 1
比如\int \sin (2 x+3) d x=? ,令 t=2x+3; \int \frac{\sin \sqrt{x}}{\sqrt{x}}dx=? ,令 t=\sqrt{x}; \int x^{2} \cos \left(x^{3}\right) d x=? ,令 t=x^3; …… (2)根号中 \sqrt{\square} 根号往往是我们不太喜欢的东西,如果被积函数中根号里面有一堆东西很复杂...
Ahmed's Integral∫01tan−1(x2+2)(x2+2)(x2+1)dx 方法一: 令I=∫01tan−1(2+x2)(1+x2)2+x2dx 及 f(t)=∫01tan−1(t2+x2)(1+x2)2+x2dx 其中f(1)=I. ⇒f′(t)=∫01dx(1+x2)2+x2ddttan−1(t2+x2)=∫01dx(1+x2)2+x22+x21+(t2+x2)2=...
You can use the Pythagorean identity sin2(x) + cos2(x = 1 to get cos2(x) = 1 - sin2(x) and then substitute to yield: ∫7sin4(x)(1 - sin2(x)) dx 7∫sin4(x) dx - 7∫sin6(x) dx Then you can use the power reduction identities (which are variant of the double angl...
=4⋅∫02πcos(u)π2du Take the constant out:∫a⋅f(x)dx=a⋅∫f(x)dx=4⋅π2⋅∫02πcos(u)du Use the common integral:∫cos(u)du=sin(u)=4⋅π2[sin(u)]02π Simplify4⋅π2[sin(u)]02π:π8[sin(u)]02π...
Evaluate the indefinite integral. (Use C for the constant of integration.) \int \frac{\tan^{-1} (3x)}{1 + 9x^2} \ dx Evaluate the indefinite integral. (Use C for the constant of integration.) ∫ ( sin(2x) + cos^2(x) ) dx ...