WebbSymbolab is the best integral calculator solving indefinite integrals, definite integrals, improper integrals, double integrals, triple integrals, multiple integrals, antiderivatives, and more. Which is an antiderivative? An antiderivative of function f (x) is a function whose derivative is equal to f (x). Is integral the same as antiderivative? WebbSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
Sin2x - Formula, Identities, Examples, Proof Sin^2x Formula
Webb13 apr. 2024 · To solve the integral of sin^4x cos^2x using integration by parts, we can use the following formula: ∫u dv = uv - ∫v du. Let u = sin^2x and dv = cos^2x dx. Then, we have du = 2sinx cosx dx and v = (1/2)sinx + (1/4)sin3x. Substituting these values into the formula, we get: ∫sin^4x cos^2x dx = (1/2)sin^2x cos^2x - (1/4)∫sin^2x sin3x dx Webb10 apr. 2024 · Find its area using method of integration. Using integration, find the area of the region bounded by the parasda y2=16x and the line x=4 . Show that the function y=Acosx y=Acosx−Bsinx is a solution of the differential equation dx2d2y+y =0 . Verify that y=logx is a solution of the differential equation x⋅dx2d2y+dxdy=0 . greating flowers63
Integral of Sin Square x: Formula, Proof, Examples, Solution
WebbBy Parts Integration Calculator By Parts Integration Calculator Integrate functions using the integration by parts method step by step full pad » Examples Related Symbolab blog … WebbYou cannot directly integrate sin^2 (x). Use trigonometric identities and calculus substitution rules to solve the problem. Use the half angle formula, sin^2 (x) = 1/2* (1 - … Webb∫sinx(sin 2x)(cos 2x)dx ⇒∫sinx(1−cos 2x)(cos 2x)dx ⇒∫sinxcos 2xdx−∫sinxcos 4xdx Put cosx=t −sinxdx=dt ⇒−∫t 2dt+∫t 4dt ⇒− 3t 3+ 5t 5+c ∫sin 3xcosxdx= 5cos 5x− 3cos 3x+c. … floating knives image