Get Inspired For Table Of Integrals Basic
Table of basic integrals. But it is often used to find the area underneath the graph of a function like this.
Tables of basic derivatives and integrals ii derivatives d dx xa axa1 d dx ex ex d dx sinx cosx d dx cosx sinx d dx tanx sec2 x d dx cotx csc2 x d dx secx secxtanx d dx cscx cscxcotx d dx lnx 1 x d dx ax ax lna d dx arcsinx 1 1x2 d dx arccosx 1 1x2 d dx arctanx 1 1x2 d dx arccotx 1 1x2 d dx arcsecx 1 x x2 1 d dx arccscx 1 x x2 1.
Table of integrals basic. C2005 be shapiro page 3 this document may not be reproduced posted or published without permission. Integration is the basic operation in integral calculus. Table of basic integrals basic forms 1 z xndx 1 n 1 xn1.
Integrals with trigonometric functions sin a x d x. This page lists some of the most common antiderivatives. Basic forms z xndx 1 n 1 xn1 1 z 1 x dx lnx 2 z udv uv z vdu 3 z 1 ax b dx 1 a lnax b 4 integrals of rational functions z 1 x a2.
Dx tan 1. Dx 1 x a 5 z x andx x an1. Integration tables from stewart calculus textbook 4th ed.
Table of integrals basic forms z xndx 1 n 1 xn1 1 z 1 x dx lnjxj 2 z udv uv z vdu 3 z 1 ax b dx 1 a lnjax bj 4 integrals of rational functions z 1 x a2 dx ln1 x a 5 z x andx x an1 n 1n6 1 6 z xx andx x an1n 1x a n 1n 2 7 z 1 1 x2 dx tan 1 x 8 z 1 a2 x2 dx 1 a tan 1 x a 9 z x a 2 x dx 1 2 lnja2 x2j 10 z x2 a 2 x dx x atan 1 x a 11 z x3 a 2 x. The copyright holder makes no representation about the accuracy correctness or. 6 z lnxdx xlnx x 7 z sinxdx cosx 8 z cosxdx sinx 9 z tanxdx lnjsecxj 10 z secxdx lnjsecxtanxj 11 z sec2 xdx tanx 12 z secxtanxdx secx 13 z a a2 x2.
N 1 n6 16 z xx andx x an1n 1x a n 1n 2 7 z 1 1x2. Table of integrals. Basic forms x n d x 1 n 1 x n 1 n.
Integration can be used to find areas volumes central points and many useful things. While differentiation has easy rules by which the derivative of a complicated function can be found by differentiating its simpler component functions integration does not so tables of known integrals are often useful. Table of basic integrals1 1 z xn dx 1 n1 xn1.
N6 1 2 z 1 x dx lnjxj 3 z udv uv z vdu 4 z 1 ax b dx 1 a lnjax bj integrals of rational functions 5 z 1 x a2 dx 1 x a 6 z x andx x an1 n 1n6 1 7 z xx andx x an1n 1x a n 1n 2 8 z 1 1 x2 dx tan 1 x 9 z 1 a2 x2 dx 1 a tan 1 x a 1. N 6 1 2 z 1 x dx lnjxj 3 z u dv uv z vdu 4 z e xdx e 5 z ax dx 1 lna ax.
