Category: Integration

Question Number 38130 by gunawan last updated on 22/Jun/18 $$1.\int {\tan }^3\left(2x\right){\sec }^5\left(2x\right)dx$$$$2.{\int }_0^{\frac{\pi }{3}}{\tan }^5\left(x\right){\sec }^6\left(x\right)dx$$$$3.\int {\tan }^6\left(ay\right)dy$$ Answered by…

Question Number 38126 by maxmathsup by imad last updated on 22/Jun/18 $$calculate{\int }_0^{\mathrm{\infty }}{e}^{-2x}\sqrt{1+e^{-4x}}dx.$$ Commented by math khazana by abdo last…

Question Number 38124 by maxmathsup by imad last updated on 22/Jun/18 $$provethat\int \frac{dx}{\sqrt{1+x^2}}=ln(x+\sqrt{1+x^2})+c$$$$2)find\int \frac{dx}{\sqrt{a+x^2}}witha>0$$ Answered by tanmay.chaudhury50@gmail.com last updated on…

Question Number 38122 by maxmathsup by imad last updated on 22/Jun/18 $$calculate{\int }_0^{\pi }\frac{sinx}{\sqrt{1+{cos}^{2}x}}dx$$ Answered by tanmay.chaudhury50@gmail.com last updated on 22/Jun/18 $${t}={cosx}\:\:\:{dt}=−{sinxdx}…

Question Number 38119 by maxmathsup by imad last updated on 22/Jun/18 $$calculate{\int }_1^{+\mathrm{\infty }}\frac{dx}{x^4\sqrt{x-1}}$$ Commented by math khazana by abdo last updated…